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Dissertations / Theses on the topic 'Bianchi Type I'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Friedrichsen, James Edward. "Quantization of Bianchi type cosmological models /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004268.

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2

Giani, Leonardo. "Bianchi type II cosmology in Hořava–Lifshitz gravity." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/10471/.

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In this work a Bianchi type II space-time within the framework of projectable Horava Lifshitz gravity was investigated; the resulting field equations in the infrared limit λ = 1 were analyzed qualitatively. We have found the analytical solutions for a toy model in which only the higher curvature terms cubic in the spatial Ricci tensor are considered. The resulting behavior is still described by a transition among two Kasner epochs, but we have found a different transformation law of the Kasner exponents with respect to the one of Einstein's general relativity.

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3

Lindblad, Petersen Oliver. "Bianchi type I solutions to Einstein's vacuum equations." Thesis, KTH, Matematik (Inst.), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-129194.

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A natural question in general relativity is whether there exist singularities, like the Big Bang and black holes, in the universe. Albert Einstein did not in the beginning believe that singularities in general relativity are generic ([2], [3]). He claimed that the existence of singularities is due to symmetry assumptions. The symmetry assumptions are usually spatial isotropy and spatial homogeneity. Spatial isotropy means intuitively that, for a xed time, universe looks the same at all points and in all spatial directions. In the present paper, we will show the following: If we solve Einstein'

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4

Sverin, Tomas. "Density Growth in Anisotropic Cosmologies of Bianchi Type I." Thesis, Umeå universitet, Institutionen för fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-58102.

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This work generalises earlier works on the growth of the density perturbations in Bianchi type I cosmologies filled with dust to include also the effects of pressure anda positive cosmological constant. For the analysis the 1+3 covariant split of space-time formalism is used. As the perturbative variables we use scalar quantities thatare zero on the background, and hence are gauge-invariant. These variables form acoupled closed system of first-order evolution equations, that is analysed numericallyand analytically. For short wavelengths an oscillatory behavior is obtained, whereasfor long wave

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5

Lindblad, Petersen Oliver. "The wave equation and redshift in Bianchi type I spacetimes." Thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-151317.

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The thesis consists of two independent parts. In the first part, we show how the solution to the scalar wave equation on 3-torus-Bianchi type I spacetimes can be written as a Fourier decomposition. We present results on the behaviour of these Fourier modes and apply them to the case of 3-torus-Kasner spacetimes. In the second part, we first consider the solution to the scalar wave equation, with special initial data, as a model for light in Bianchi type I spacetimes. We show that the obtained redshift coincides with the cosmological redshift. We also consider the Cauchy problem for Maxwell's v

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6

Jönsson, Johan. "Non-isotropic Cosmology in 1+3-formalism." Thesis, Linköpings universitet, Matematiska institutionen, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-113269.

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Cosmology is an attempt to mathematically describe the behaviour of the universe, the most commonly used models are the Friedmann-Lemaître-Robertson-Walker solutions. These models seem to be accurate for an old universe, which is homogeneous with low anisotropy. However for an earlier universe these models might not be that accurate or even correct. The almost non-existent anisotropy observed today might have played a bigger role in the earlier universe. For this reason we will study another model known as Bianchi Type I, where the universe is not necessarily isotropic. We utilize a 1+3-covari

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7

Lemberger, Benjamin Kurt. "The one place we're trying to get to is just where we can't get: algebraic speciality and gravito-electromagnetism in Bianchi type IX." Oberlin College Honors Theses / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1400163799.

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8

Eriksson, Daniel. "Perturbative Methods in General Relativity." Doctoral thesis, Umeå : Department of Physics, Umeå University, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-1488.

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9

Holgersson, David. "Lanczos potentialer i kosmologiska rumtider." Thesis, Linköping University, Department of Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2582.

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<p>We derive the equation linking the Weyl tensor with its Lanczos potential, called the Weyl-Lanczos equation, in 1+3 covariant formalism for perfect fluid Bianchi type I spacetime and find an explicit expression for a Lanczos potential of the Weyl tensor in these spacetimes. To achieve this, we first need to derive the covariant decomposition of the Lanczos potential in this formalism. We also study an example by Novello and Velloso and derive their Lanczos potential in shear-free, irrotational perfect fluid spacetimes from a particular ansatz in 1+3 covariant formalism. The existence of the

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10

Warmbold, Bianca [Verfasser], and Erhard [Akademischer Betreuer] Bremer. "Regulation der Aufnahme und Synthese des kompatiblen Soluts Glycinbetain durch GbsR-Typ Regulatoren / Bianca Warmbold ; Betreuer: Erhard Bremer." Marburg : Philipps-Universität Marburg, 2019. http://d-nb.info/1189315548/34.

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11

Altissimo, Bianca [Verfasser]. "Untersuchung des Einflusses genetischer Varianten im SLC22A1-Gen, das für den OCT1-Transporter codiert, auf den Langzeitverlauf der Therapie mit Metformin bei Patienten mit Diabetes mellitus Typ 2 / Bianca Altissimo." Ulm : Universität Ulm. Medizinische Fakultät, 2014. http://d-nb.info/1049561791/34.

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12

Chen, Cheng-Pin, and 陳正彬. "Evolution of Bianchi Type I and Bianchi Type V Model on Brane Space-Time." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/2z47k2.

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13

Lin, Jiun Rei, and 林君睿. "The study of Bianchi Type II model." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/96490282949772635815.

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碩士<br>國立交通大學<br>物理研究所<br>95<br>In this thesis we study one of the Bianchi type spaces, type II, which is a homogeneous and anisotropic space. We follow the procedure to calculate the Chrystoffel symbols and curvature tensors and obtain the field equations with the variational method. We first consider the Einstein-Hilbert model with perfect fluid and the induced gravity model at early universe. . We gain the numerical solution and test that the scale factor indeed expands. And we also check the induced gravity model that will indeed inflate the space within the $10^{-44}$ to $10^{-36}$

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14

張育誠. "The Analysis of the Bianchi Type I Anisotropically." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/91581582882753547704.

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碩士<br>國立交通大學<br>物理研究所<br>98<br>Inflation in the early universe is a scenario that could be induced by the scalar field model and/or the high derivative gravity model. Moreover, initial conditions of the space time may affect the evolution of the large-scale isotropic and homogeneous universe we observed today. Therefore, we will focus on the evolution of the Bianchi type I anisotropically inflating universe under the influence of a high derivative pure gravity model. Systematic method in finding the solutions of the equation of motion will be presented in this thesis. We will also try to find

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15

Lin, Allen, and 林勤倫. "The Study of Bianchi Type VI cosmology Mode." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/91135657766635095588.

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碩士<br>國立交通大學<br>物理研究所<br>95<br>Cosmology as what we see today—Isotropic and Homogeneous . Actually,we can support that the cosmology can be Anisotropy and Homogeneous in the early time . And as the evaluation of cosmology ,it can be Isotropic and Homogeneous as the present time . Bianchi Model is what we can take as our ideal Model-- Anisotropic and Homogeneous ,using the Model ,as the evaluation of cosmology. Can it be Isotropy and Homogeneous as what we know of present cosmology? Variational Method is a good way to obtain Field equation ,However ,we find something wrong while using the Varia

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16

Ren, Lai Yu, and 賴祐仁. "Bianchi type II & VIh Models and Brane Cosmology." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/59584305962867137188.

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碩士<br>國立交通大學<br>物理研究所<br>96<br>In this thesis, we start at John D. Barrow’s paper, the “Anisotropically inflating universes”. We discuss the Bianchi type II & VIh for the Lagrangian density with the quadratic curvature terms, and calculate the energy-momentum tensor by solving the field equation. However, the energy condition is violated. So we introduce the concept of brane and discuss the extra dimension affect the field equation when we consider the 3-brane world. Finally we calculate the energy-momentum tensor of these two cosmology models once again.

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17

Huang, Hsuan-Han, and 黃宣翰. "Stability analysis of the Bianchi type I Model Universe." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/44572026362306745955.

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碩士<br>國立交通大學<br>物理研究所<br>98<br>According to the observation evidences, our universe is an expanding de Sitter space. As a result, many different models have been studied as a natural source of the expanding universe. In particular, higher order corrections terms may be important in the evolution of the early universe. In addition, Gibbons and Hawking come up with the No Hair theorem claiming that the de Sitter solution is the only stable expanding solution. Review on the anisotropically expanding solutions in the Bianchi type I space will be presented in this thesis along with the presentation

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18

Chen, Chun-Hsien, and 陳俊憲. "A study on the Bianchi type I model universe." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/49362829579565498354.

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碩士<br>國立交通大學<br>物理研究所<br>98<br>Robert Wald showed that anisotropically expanding universes will evolve to a stable de Sitter space for a large class of Einstein gravity models with a positive cosmological constant under certain energy conditions. A detailed review is presented in this paper. It is also found that a class of Bianchi type I expanding solutions exist in the presence of the higher derivative corrections. We provide a detailed derivation of the field equations, and solve for the expanding solutions in a systematic manner. This class of anisotropically expanding soltuions are shown

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19

Lee, Chuan-Ruei, and 李傳睿. "Stability conditions for the Bianchi type I anisotropically inflating universe." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/35763109408408449033.

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碩士<br>國立交通大學<br>物理研究所<br>98<br>The evolution detail of an anisotropically expanding universe is an interesting research focus lately. The no hair conjecture, proved partially by Robert Wald, states that all anisotropically expanding universes will tend to an isotropic de Sitter space. A class of anisotropically expanding solutions are found in ref. [1] for a gravity model with second-order correction terms derived from all possible combinations of the Ricci curvature tensor and Ricci scalar. We will present the correct expanding solutions in this paper. These solutions can be shown to b

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20

Lin, Ing-Chen, and 林英程. "Weyl-invariant massive gravity and the Bianchi type I space." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/06824586594235612866.

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博士<br>國立交通大學<br>物理研究所<br>105<br>We construct a model with Weyl-invariance and massive gravity, study its eld equations, and nd some analytic solutions in the Bianchi type I space. In this model, massive gravity provides an eective cosmological constant, while Weyl-invariance provides a cold dark matter. After we add a quartic potential of the Weyl gauge vector into the Lagrangian density, the Weyl-invariant matter will be extreme hot initially although cold today, which acts like a mixture of cold matter and hot matter. Furthermore, a free in aton is added to control an anisotropy in equations

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21

Kao, Meng-Tsung, and 高孟聰. "The study of Bianchi type-IV and VIII cosmology model." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/44209606321428733769.

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碩士<br>國立清華大學<br>物理學系<br>95<br>A primary subjects studied in this thesis are Bianchi type-IV and VIII cosmology models。 If one wants to understand the basic concepts of a spactime geometry，one should first know the Riemann tensor，Ricci tensor，Ricci scalar of the spactime geometry。 Chapter one in this thesis，we start to calculate the basic quantity of Bianchi type-IV and VIII cosmology models，furthermore，by using Einstein field equation we can derive the field equations of Bianchi type-IV and VIII cosmology models，with the solutions of these field equations we can understand the evolution of

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22

江建廷. "The stability analysis of Lorentz Chern-Simons theory in Bianchi type III and type V spaces." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/34328680745155292429.

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碩士<br>國立交通大學<br>物理研究所<br>101<br>Lorentz Chern-Simons interaction is added to the Einstein-Hilbert action. We will show that the evolution of the universe in Bianchi Type III and V are both consistent with the No-hair conjecture.

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23

Chiu, Wei-Lan, and 邱韋嵐. "Analysis of Universe Model in the Bianchi Type I Space by Dynamical Systems." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/18543702602756631223.

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碩士<br>國立交通大學<br>物理研究所<br>98<br>Form the observation of the cosmic microwave background radiation done by WMAP, the physical universe is highly homogeneous and isotropic with tiny anisotropic distribution reflecting the initial anisotropy of the expanding universe. The Bianchi type I space will be adopted along with higher order correction terms as the physical models in charge of the evolution of the anisotropic ally expanding universe. Expanding solutions can be solved accordingly. The evolution of these solutions can be treated as a dynamical system that provides detailed stability analysis

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24

D'Ambroise, Jennie. "Generalized EMP and Nonlinear Schrodinger-type Reformulations of Some Scaler Field Cosmological Models." 2010. https://scholarworks.umass.edu/open_access_dissertations/225.

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We show that Einstein’s gravitational field equations for the Friedmann- Robertson-Lemaître-Walker (FRLW) and for two conformal versions of the Bianchi I and Bianchi V perfect fluid scalar field cosmological models, can be equivalently reformulated in terms of a single equation of either generalized Ermakov-Milne- Pinney (EMP) or (non)linear Schrödinger (NLS) type. This work generalizes or presents an alternative to similar reformulations published by the authors who inspired this thesis: R. Hawkins, J. Lidsey, T. Christodoulakis, T. Grammenos, C. Helias, P. Kevrekidis, G. Papadopoulos and F.W

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25

Dauber, Bianca [Verfasser]. "Charakterisierung der Typ-I-IFN-antagonistischen Eigenschaften des Influenza-B-Virus / vorgelegt von Bianca Dauber." 2006. http://d-nb.info/981459471/34.

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26

Bauer, Bianca [Verfasser]. "Molekulare Charakterisierung von Typ-IV-Sekretionssytem-spezifischen Wirtszellantworten und bakteriellen Virulenzfaktoren des humanen Magenpathogens Helicobacter pylori / von Bianca Bauer." 2010. http://d-nb.info/1001554469/34.

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