Relevant bibliographies by topics / Goldberg-Sachs theorem

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Goldberg-Sachs theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Goldberg-Sachs theorem"

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Apostolov, V., and P. Gauduchon. "The Riemannian Goldberg–Sachs Theorem." International Journal of Mathematics 08, no. 04 (1997): 421–39. http://dx.doi.org/10.1142/s0129167x97000214.

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The paper contains a description of compact Hermitian complex surfaces whose Riemannian Ricci tensor is of type (1,1). This in turn comes as a consequence of a Riemannian version of the well-known (generalized) Goldberg–Sachs theorem of the General Relativity. A complete proof of the Riemannian version is given in the framework of "classical" Hermitian geometry. The paper includes some more results also pertaining to "Riemannian Goldberg–Sachs theory", as well as a "dual theory" involving the Penrose operator.
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2

Dain, Sergio, and Osvaldo M. Moreschi. "The Goldberg–Sachs theorem in linearized gravity." Journal of Mathematical Physics 41, no. 9 (2000): 6296–99. http://dx.doi.org/10.1063/1.1288249.

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Nurowski, Paweł, and Arman Taghavi-Chabert. "A Goldberg–Sachs theorem in dimension three." Classical and Quantum Gravity 32, no. 11 (2015): 115009. http://dx.doi.org/10.1088/0264-9381/32/11/115009.

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Taghavi-Chabert, Arman. "The complex Goldberg–Sachs theorem in higher dimensions." Journal of Geometry and Physics 62, no. 5 (2012): 981–1012. http://dx.doi.org/10.1016/j.geomphys.2012.01.012.

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Ortaggio, Marcello, Vojtěch Pravda, Alena Pravdová, and Harvey S. Reall. "On a five-dimensional version of the Goldberg–Sachs theorem." Classical and Quantum Gravity 29, no. 20 (2012): 205002. http://dx.doi.org/10.1088/0264-9381/29/20/205002.

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6

Batista, Carlos. "A Generalization of the Goldberg–Sachs theorem and its consequences." General Relativity and Gravitation 45, no. 7 (2013): 1411–31. http://dx.doi.org/10.1007/s10714-013-1539-4.

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Durkee, Mark, and Harvey S. Reall. "A higher dimensional generalization of the geodesic part of the Goldberg–Sachs theorem." Classical and Quantum Gravity 26, no. 24 (2009): 245005. http://dx.doi.org/10.1088/0264-9381/26/24/245005.

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Taghavi-Chabert, Arman. "Optical structures, algebraically special spacetimes, and the Goldberg–Sachs theorem in five dimensions." Classical and Quantum Gravity 28, no. 14 (2011): 145010. http://dx.doi.org/10.1088/0264-9381/28/14/145010.

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Ortaggio, Marcello, Vojtěch Pravda, and Alena Pravdová. "On the Goldberg–Sachs theorem in higher dimensions in the non-twisting case." Classical and Quantum Gravity 30, no. 7 (2013): 075016. http://dx.doi.org/10.1088/0264-9381/30/7/075016.

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10

Krasiński, Andrzej, and Maciej Przanowski. "Editorial note to: J. N. Goldberg and R. K. Sachs, A theorem on Petrov types." General Relativity and Gravitation 41, no. 2 (2008): 421–32. http://dx.doi.org/10.1007/s10714-008-0721-6.

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Dissertations / Theses on the topic "Goldberg-Sachs theorem"

1

Kuchynka, Martin. "Geometrické vlastnosti algebraicky speciálních prostoročasů." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-352744.

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In the thesis, we set out to study a certain class of algebraically special spacetimes in arbitrary dimension. These are the so-called spacetimes of Weyl and traceless Ricci type N. Our work can be divided into two parts. In the first part, we study general geometrical properties of spacetimes under consideration. In particular, we are interested in various properties of aligned null directions - certain significant null directions associated with algebraic structure of the Weyl and the Ricci tensor. Since the obtained results are of geometric nature, they are theory-independent and thus hold
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Book chapters on the topic "Goldberg-Sachs theorem"

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Ortaggio, Marcello, Vojtěch Pravda, Alena Pravdová, and Harvey S. Reall. "On a Five-Dimensional Version of the Goldberg-Sachs Theorem." In Springer Proceedings in Physics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06761-2_23.

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Conference papers on the topic "Goldberg-Sachs theorem"

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ORTAGGIO, MARCELLO, VOJTĚCH PRAVDA, ALENA PRAVDOVÁ, and HARVEY S. REALL. "ON THE GOLDBERG-SACHS THEOREM IN FIVE DIMENSIONS." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0083.

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