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1

Sklavenites, D. "Geodesic Bianchi type cosmological models." General Relativity and Gravitation 24, no. 1 (January 1992): 47–58. http://dx.doi.org/10.1007/bf00756873.

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2

Bergamini, Roberto, Paolo Sedici, and Paolo Verrocchio. "Inflation for Bianchi type IX models." Physical Review D 55, no. 4 (February 15, 1997): 1896–900. http://dx.doi.org/10.1103/physrevd.55.1896.

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3

Tkach, V. I., J. J. Rosales, and O. Obregón. "Supersymmetric action for Bianchi type models." Classical and Quantum Gravity 13, no. 9 (September 1, 1996): 2349–56. http://dx.doi.org/10.1088/0264-9381/13/9/002.

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4

Nayak, B. K., and G. B. Bhuyan. "Bianchi type-V perfect fluid models." General Relativity and Gravitation 18, no. 1 (January 1986): 79–91. http://dx.doi.org/10.1007/bf00843752.

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5

Adhav, K. S., M. V. Dawande, and V. B. Raut. "Bianchi Type-III String Cosmological Models." International Journal of Theoretical Physics 48, no. 3 (September 16, 2008): 700–705. http://dx.doi.org/10.1007/s10773-008-9846-3.

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6

Nilsson, Ulf S., and Claes Uggla. "Stationary Bianchi type II perfect fluid models." Journal of Mathematical Physics 38, no. 5 (May 1997): 2611–15. http://dx.doi.org/10.1063/1.531998.

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7

Singh, J. K., and Shri Ram. "String cosmological models of Bianchi type-III." Astrophysics and Space Science 246, no. 1 (1997): 65–72. http://dx.doi.org/10.1007/bf00637400.

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8

Pavelkin, V. N. "Cosmological Bianchi type VIII models with rotation." Russian Physics Journal 55, no. 7 (December 2012): 848–51. http://dx.doi.org/10.1007/s11182-012-9889-z.

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9

Sandin, Patrik. "Tilted two-fluid Bianchi type I models." General Relativity and Gravitation 41, no. 11 (April 10, 2009): 2707–24. http://dx.doi.org/10.1007/s10714-009-0799-5.

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10

Panov, V. F. "Rotating cosmological models of Bianchi type VIII." Soviet Physics Journal 32, no. 5 (May 1989): 403–7. http://dx.doi.org/10.1007/bf00895327.

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11

Chirde, Dr Vilas R., and Vijay P. Kadam. "Bianchi Type Bulk Viscous String Cosmological Models in Modified Theory of Gravity." International Journal of Scientific Research 3, no. 5 (June 1, 2012): 85–90. http://dx.doi.org/10.15373/22778179/may2014/28.

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12

Saha, Bijan. "Nonlinear Spinor Field in Non-Diagonal Bianchi Type Space-Time." EPJ Web of Conferences 173 (2018): 02018. http://dx.doi.org/10.1051/epjconf/201817302018.

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Within the scope of the non-diagonal Bianchi cosmological models we have studied the role of the spinor field in the evolution of the Universe. In the non-diagonal Bianchi models the spinor field distribution along the main axis is anisotropic and does not vanish in the absence of the spinor field nonlinearity. Hence within these models perfect fluid, dark energy etc. cannot be simulated by the spinor field nonlinearity. The equation for volume scale V in the case of non-diagonal Bianchi models contains a term with first derivative of V explicitly and does not allow exact solution by quadratures. Like the diagonal models the non-diagonal Bianchi space-time becomes locally rotationally symmetric even in the presence of a spinor field. It was found that depending on the sign of the coupling constant the model allows either an open Universe that rapidly grows up or a close Universe that ends in a Big Crunch singularity.
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13

DI PIETRO, ELISA, and JACQUES DEMARET. "SCALE FACTOR DUALITY IN STRING BIANCHI COSMOLOGIES." International Journal of Modern Physics D 08, no. 03 (June 1999): 349–61. http://dx.doi.org/10.1142/s0218271899000262.

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We apply the scale factor duality transformations introduced in the context of the effective string theory to the anisotropic Bianchi-type models. We find dual models for all the Bianchi-types [except for types VIII and IX] and construct for each of them its explicit form starting from the exact original solution of the field equations. It is emphasized that the dual Bianchi class B models require the loss of the initial homogeneity symmetry of the dilatonic scalar field.
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14

Patel, L. K., and Sharda S. Koppar. "Some Bianchi type VI0 viscous fluid cosmological models." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33, no. 1 (July 1991): 77–84. http://dx.doi.org/10.1017/s0334270000008638.

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AbstractThe Einstein field equations have been solved for Bianchi type VI0 spacetimes with viscous fluid source. Four cosmological models are derived. They have nonzero expansion and shear. One of them have nonzero constant shear viscosity coefficient.
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15

Mohanty, G., S. K. Sahu, and P. K. Sahoo. "Mesonic Stiff Fluid Distribution in Bianchi Type Space-Times." Communications in Physics 14, no. 2 (September 7, 2007): 84–89. http://dx.doi.org/10.15625/0868-3166/14/2/10698.

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The distributions of stiff perfect fluid coupled with zero mass scalar field in LRS Bianchi type-I & Bianchi type-V space times are investigated. Some physical and geometrical properties of the models are discussed.
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16

Reddy, D. R. K., and R. Venkateswarlu. "Bianchi type-VI0 models in self-creation cosmology." Astrophysics and Space Science 155, no. 1 (1989): 135–39. http://dx.doi.org/10.1007/bf00645214.

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17

SINGH, J. K. "SOME BIANCHI TYPE COSMOLOGICAL MODELS IN LYRA GEOMETRY." International Journal of Modern Physics A 23, no. 30 (December 10, 2008): 4925–31. http://dx.doi.org/10.1142/s0217751x08041530.

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A class of nonstatic solutions for Einstein field equations has been investigated in the context of Bianchi type-V space–time in the theory based on Lyra's geometry in Gauss normal gauge and in the presence of an attractive massive scalar field. The results have been studied through various physical and geometrical parameters. The energy conditions of the model have also been verified.
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18

Sandin, Patrik, and Claes Uggla. "Bianchi type I models with two tilted fluids." Classical and Quantum Gravity 25, no. 22 (October 31, 2008): 225013. http://dx.doi.org/10.1088/0264-9381/25/22/225013.

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19

Singh, T., and G. P. Singh. "Bianchi type‐I cosmological models in Lyra’s geometry." Journal of Mathematical Physics 32, no. 9 (September 1991): 2456–58. http://dx.doi.org/10.1063/1.529495.

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20

ROSALES, J. J., V. I. TKACH, and J. TORRES. "EXTENDED SUPERSYMMETRY FOR THE BIANCHI-TYPE COSMOLOGICAL MODELS." Modern Physics Letters A 17, no. 33 (October 30, 2002): 2199–207. http://dx.doi.org/10.1142/s0217732302008708.

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In this paper we propose a superfield description for all Bianchi-type cosmological models. The action is invariant under world-line local n = 4 supersymmetry with SU (2) local ⊗ SU (2) global internal symmetry. Due to the invariance of the action we obtain the constraints, which form a closed superalgebra of the n = 4 supersymmetric quantum mechanics. This procedure provides the inclusion of supermatter in a systematic way.
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21

SHARIF, M., and SHAMAILA RANI. "F(T) MODELS WITHIN BIANCHI TYPE-I UNIVERSE." Modern Physics Letters A 26, no. 22 (July 20, 2011): 1657–71. http://dx.doi.org/10.1142/s0217732311036127.

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In this paper, we consider spatially homogeneous and anisotropic Bianchi type I universe in the context of F(T) gravity. We construct some corresponding models using conservation equation and equation of state parameter representing different phases of the universe. In particular, we take matter-dominated era, radiation-dominated era, present dark energy phase and their combinations. It is found that one of the models has a constant solution which may correspond to the cosmological constant. We also derive equation of state parameter by using two well-known F(T) models and discuss cosmic acceleration.
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22

Banerjee, A., B. Bhui, and S. Chatterjee. "Bianchi type I cosmological models in higher dimensions." Astrophysical Journal 358 (July 1990): 23. http://dx.doi.org/10.1086/168959.

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23

Ram, Shri. "Spatially homogeneous cosmological models of Bianchi type III." Journal of Mathematical Physics 30, no. 3 (March 1989): 757–59. http://dx.doi.org/10.1063/1.528393.

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24

Uggla, C. "Asymptotic cosmological solutions: orthogonal Bianchi type-II models." Classical and Quantum Gravity 6, no. 3 (March 1, 1989): 383–96. http://dx.doi.org/10.1088/0264-9381/6/3/015.

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25

Hogan, P. A. "Gravitational radiation in Bianchi Type V cosmological models." Astrophysical Journal 324 (January 1988): 639. http://dx.doi.org/10.1086/165924.

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26

Pradhan, Anirudh, and D. S. Chouhan. "Anisotropic Bianchi type-I models in string cosmology." Astrophysics and Space Science 331, no. 2 (September 14, 2010): 697–704. http://dx.doi.org/10.1007/s10509-010-0478-8.

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27

Mostafapoor, Nouraddin, and Øyvind Grøn. "Bianchi type-I universe models with nonlinear viscosity." Astrophysics and Space Science 343, no. 1 (August 23, 2012): 423–34. http://dx.doi.org/10.1007/s10509-012-1205-4.

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28

Bobrovskikh, E. I., and V. F. Panov. "Nonstationary Bianchi type II cosmological models with rotation." Russian Physics Journal 55, no. 4 (September 2012): 469–72. http://dx.doi.org/10.1007/s11182-012-9835-0.

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29

Akarsu, Özgür, and Can Battal Kılınç. "Bianchi type III models with anisotropic dark energy." General Relativity and Gravitation 42, no. 4 (August 21, 2009): 763–75. http://dx.doi.org/10.1007/s10714-009-0878-7.

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30

Abdel-Megied, M., and E. A. Hegazy. "Bianchi type VI cosmological model with electromagnetic field in Lyra geometry." Canadian Journal of Physics 94, no. 10 (October 2016): 992–1000. http://dx.doi.org/10.1139/cjp-2016-0274.

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Bianchi type VI cosmological model in the presence of electromagnetic field with variable magnetic permeability in the framework of Lyra geometry is presented. An exact solution is introduced by considering that the eigenvalue [Formula: see text] of the shear tensor [Formula: see text] is proportional to the scalar expansion Θ of the model, that is, C = (AB)L, where A, B, and C are the coefficients of the metric and L is a constant. Bianchi type V, III, and I cosmological models are given as special cases of Bianchi type VI. Physical and geometrical properties of the models are discussed.
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31

SINGH, C. P., and SURESH KUMAR. "BIANCHI TYPE-II COSMOLOGICAL MODELS WITH CONSTANT DECELERATION PARAMETER." International Journal of Modern Physics D 15, no. 03 (March 2006): 419–38. http://dx.doi.org/10.1142/s0218271806007754.

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A special law of variation for Hubble's parameter in anisotropic space–time models that yields a constant value of the deceleration parameter is presented. Also, a spatially homogeneous and anisotropic but locally rotationally symmetric (LRS) Bianchi type-II cosmological model is studied with a perfect fluid and constant deceleration parameter. Assuming the equation of state p = γρ, where 0≤γ≤1, and using a special law of variation for the Hubble parameter, we are able to construct many new solutions to Einstein's field equations of LRS Bianchi type-II for four different physical models (dust, radiation, Zel'dovich and vacuum). We discuss the solutions with power-law and exponential expansion and examine a particular class of models. A detailed study of kinematic, geometrical and observational properties is carried out.
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32

SINGH, J. K., and N. K. SHARMA. "SOME BIANCHI TYPE-II COSMOLOGICAL MODELS IN LYRA GEOMETRY." International Journal of Modern Physics A 25, no. 12 (May 10, 2010): 2525–33. http://dx.doi.org/10.1142/s0217751x10048330.

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In this work, we have studied the Bianchi type-II anisotropic cosmological models in the theory based on Lyra's geometry in normal gauge in the presence and absence of the magnetic field. The physical and kinematical behaviors of the models have also been discussed.
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33

MACÍAS, A., O. OBREGÓN, and J. SOCORRO. "SUPERSYMMETRIC QUANTUM COSMOLOGY." International Journal of Modern Physics A 08, no. 24 (September 30, 1993): 4291–317. http://dx.doi.org/10.1142/s0217751x93001752.

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Supersymmetric minisuperspace quantization is studied for cosmological models without interaction (Bianchi type I) and for models with interaction like Bianchi type IX, the Taub and the FRW (k=+1) model. In particular for the last two cases the profound differences with standard quantum cosmology are emphasized.
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34

Rao, V. U. M., K. V. S. Sireesha, and M. Vijaya Santhi. "Bianchi Types II, VIII, and IX String Cosmological Models with Bulk Viscosity in a Theory of Gravitation." ISRN Mathematical Physics 2012 (March 22, 2012): 1–15. http://dx.doi.org/10.5402/2012/341612.

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We have obtained and presented spatially homogeneous Bianchi types II, VIII, and IX string cosmological models with bulk viscosity in a theory of gravitation proposed by Sen (1957) based on Lyra (1951) geometry. It is observed that only vacuum cosmological model exists in case of Bianchi type IX universe. Some physical and geometrical properties of the models are also discussed.
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35

Yadav, Anil Kumar, and Ahmad T. Ali. "Invariant Bianchi type I models in f(R,T) gravity." International Journal of Geometric Methods in Modern Physics 15, no. 02 (January 24, 2018): 1850026. http://dx.doi.org/10.1142/s0219887818500263.

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In this paper, we search the existence of invariant solutions of Bianchi type I space-time in the context of [Formula: see text] gravity with special case [Formula: see text]. The exact solution of the Einstein’s field equations are derived by using Lie point symmetry analysis method that yield two models of invariant universe for symmetries [Formula: see text] and [Formula: see text]. The model with symmetries [Formula: see text] begins with big bang singularity while the model with symmetries [Formula: see text] does not favor the big bang singularity. Under this specification, we find out at set of singular and nonsingular solution of Bianchi type I model which present several other physically valid features within the framework of [Formula: see text] gravity.
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36

Kabak, Ali, and Sezgin Aygün. "Scalar field solutions for anisotropic universe models in various gravitation theories." International Journal of Geometric Methods in Modern Physics 17, no. 02 (January 13, 2020): 2050025. http://dx.doi.org/10.1142/s0219887820500255.

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In this study, we have investigated homogeneous and anisotropic Marder and Bianchi type I universe models filled with normal and phantom scalar field matter distributions with [Formula: see text] in [Formula: see text] gravitation theory (T. Harko et al., Phys. Rev. D 84 (2011) 024020). In this model, [Formula: see text] is the Ricci scalar and [Formula: see text] is the trace of energy–momentum tensor. To obtain exact solutions of modified field equations, we have used anisotropy feature of the universe and different scalar potential models with [Formula: see text] function. Also, we have obtained general relativity (GR) solutions for normal and phantom scalar field matter distributions in Marder and Bianchi type I universes. Additionally, we obtained the same scalar function values by using different scalar field potentials for Marder and Bianchi type I universe models with constant difference in [Formula: see text] gravity and GR theory. From obtained solutions, we get negative cosmological term value for [Formula: see text] constant scalar potential model with Marder and Bianchi type I universes in GR theory. These results agree with the studies of Maeda and Ohta, Aktaş et al. also Biswas and Mazumdar. Finally, we have discussed and compared our results in gravitation theories.
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37

Taṣer, Dog̃ukan, and Melis Ulu Dog̃ru. "Conformal symmetric Bianchi type-I cosmologies in f(R) gravity." Modern Physics Letters A 33, no. 23 (July 29, 2018): 1850134. http://dx.doi.org/10.1142/s0217732318501341.

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In this study, we investigate the Bianchi type-I cosmologies with string cloud attached to perfect fluid in f(R) gravity. The field equations and their exact solutions for Bianchi type-I cosmologies with string cloud attached to a perfect fluid are found by using the conformal symmetry properties. The obtained solutions under the varied selection of arbitrary constants indicate three cosmological models. Isotropy conditions for obtained cosmological models are investigated for large value of time. Whether or not the string cloud in conformal symmetric Bianchi type-I universe supports the isotropy condition for the large value of time has been investigated. Also, we examine the contracting and decelerating features of the obtained solutions by using Raychaudhuri equation. Finally, geometrical and physical results of the solutions are discussed.
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38

Harko, T., and M. K. Mak. "Bianchi Type I Universe Models with Irreversible Matter Creation." General Relativity and Gravitation 32, no. 5 (May 2000): 865–83. http://dx.doi.org/10.1023/a:1001933007571.

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39

Xing-Xiang, Wang. "Bianchi-Type II String Cosmological Models with Bulk Viscosity." Communications in Theoretical Physics 41, no. 5 (May 15, 2004): 726–28. http://dx.doi.org/10.1088/0253-6102/41/5/726.

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40

Kuvshinova, E. V., V. N. Pavelkin, V. F. Panov, and O. V. Sandakova. "Bianchi type VIII cosmological models with rotating dark energy." Gravitation and Cosmology 20, no. 2 (April 2014): 141–43. http://dx.doi.org/10.1134/s0202289314020078.

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41

PRADHAN, ANIRUDH, and HASSAN AMIRHASHCHI. "ACCELERATING DARK ENERGY MODELS IN BIANCHI TYPE-V SPACETIME." Modern Physics Letters A 26, no. 30 (September 28, 2011): 2261–75. http://dx.doi.org/10.1142/s0217732311036620.

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Some new exact solutions of Einstein's field equations in a spatially homogeneous and anisotropic Bianchi type-V spacetime with minimally interaction of perfect fluid and dark energy components have been obtained. To prevail the deterministic solution we choose the scale factor [Formula: see text], which yields a time-dependent deceleration parameter (DP), representing a model which generates a transition of the universe from the early decelerating phase to the recent accelerating phase. We find that for n ≥ 1, the quintessence model is reproducible with present and expected future evolution of the universe. The other models (for n < 1), we observe the phantom scenario. The quintessence as well as phantom models approach to isotropy at late time. For different values of n, we can generate a class of physically viable DE models. The cosmic jerk parameter in our descended model is also found to be in good concordance with the recent data of astrophysical observations under appropriate condition. The physical and geometric properties of spatially homogeneous and anisotropic cosmological models are discussed.
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42

Roy, S. R., and S. K. Banerjee. "Bianchi type II string cosmological models in general relativity." Classical and Quantum Gravity 12, no. 8 (August 1, 1995): 1943–48. http://dx.doi.org/10.1088/0264-9381/12/8/012.

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43

Apostolopoulos, Pantelis S., and Michael Tsamparlis. "Letter: Self-Similar Bianchi Type VIII and IX Models." General Relativity and Gravitation 35, no. 11 (November 2003): 2051–56. http://dx.doi.org/10.1023/a:1026203211197.

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44

Shamir, M. Farasat. "Some Bianchi type cosmological models in f(R) gravity." Astrophysics and Space Science 330, no. 1 (June 16, 2010): 183–89. http://dx.doi.org/10.1007/s10509-010-0371-5.

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45

Adhav, K. S., A. S. Bansod, S. L. Munde, and R. G. Nakwal. "Bianchi type-VI0 cosmological models with anisotropic dark energy." Astrophysics and Space Science 332, no. 2 (November 5, 2010): 497–502. http://dx.doi.org/10.1007/s10509-010-0519-3.

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46

Zeyauddin, Mohammad, and Bijan Saha. "Bianchi type VI cosmological models: a Scale-Covariant study." Astrophysics and Space Science 343, no. 1 (September 21, 2012): 445–50. http://dx.doi.org/10.1007/s10509-012-1228-x.

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47

Sahu, Subrata Kumar, Tesfaye Tilahun Dalecha, and Kewani Welay. "Tilted Bianchi Type-III Cosmological Models In Lyra Geometry." International Journal of Theoretical Physics 54, no. 3 (August 5, 2014): 807–11. http://dx.doi.org/10.1007/s10773-014-2273-8.

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48

Tiwari, R. K., and Rameshwar Singh. "Bianchi Type V Cosmological Models with Varying Cosmological Term." International Journal of Theoretical Physics 54, no. 5 (October 3, 2014): 1417–34. http://dx.doi.org/10.1007/s10773-014-2340-1.

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49

Baghel, Prashant S., and J. P. Singh. "Bianchi Type V Universe Models with Specific Expansion Anisotropy." International Journal of Theoretical Physics 51, no. 11 (July 25, 2012): 3664–75. http://dx.doi.org/10.1007/s10773-012-1253-0.

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50

Wang Xing-xiang. "Five dimensional Bianchi — V type perfect fluid cosmological models." Chinese Astronomy and Astrophysics 15, no. 2 (June 1991): 234–38. http://dx.doi.org/10.1016/0275-1062(91)90069-a.

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