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Gödel solution in the bumblebee gravity

A. F. Santos

Instituto de Física, Universidade Federal de Mato Grosso, 78060-900 Cuiabá, Mato Grosso, Brazil

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W. D. R. Jesus

Instituto de Física, Universidade Federal de Mato Grosso, 78060-900 Cuiabá, Mato Grosso, Brazil

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J. R. Nascimento

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

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, and

A. Yu. Petrov

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

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https://doi.org/10.1142/S021773231550011XCited by:31 (Source: Crossref)

Abstract

Here, we consider a gravity theory involving a spontaneous Lorentz symmetry breaking called the bumblebee model. We show that, at certain values of the bumblebee field, the Gödel metric is consistent within this theory.

Keywords:

References

Ö. Sert and M. Adak , Mod. Phys. Lett. A 28 , 1350190 ( 2013 ) . Link, Web of Science, ADS, Google Scholar
P. H. Frampton , Mod. Phys. Lett. A 28 , 1350001 ( 2013 ) . Link, Web of Science, ADS, Google Scholar
V. A. Kostelecky and R. Potting , Phys. Rev. D 51 , 3923 ( 1995 ) . Crossref, Web of Science, ADS, Google Scholar
D. Colladay and V. A. Kostelecky , Phys. Rev. D 55 , 6760 ( 1997 ) . Crossref, Web of Science, ADS, Google Scholar
D. Colladay and V. A. Kostelecky , Phys. Rev. D 58 , 116002 ( 1998 ) . Crossref, Web of Science, ADS, Google Scholar
R. Bluhm , Lect. Notes Phys. 702 , 191 ( 2006 ) . Crossref, Google Scholar
V. A. Kostelecky and S. Samuel , Phys. Rev. D 40 , 1886 ( 1989 ) . Crossref, Web of Science, ADS, Google Scholar
V. A. Kostelecky and S. Samuel , Phys. Rev. D 39 , 683 ( 1989 ) . Crossref, Web of Science, ADS, Google Scholar
V. A. Kostelecky and S. Samuel , Phys. Rev. Lett. 63 , 224 ( 1989 ) . Crossref, Web of Science, ADS, Google Scholar
V. A. Kostelecky , Phys. Rev. D 69 , 105009 ( 2004 ) . Crossref, Web of Science, ADS, Google Scholar
R. Bluhm and V. A. Kostelecky , Phys. Rev. D 71 , 065008 ( 2005 ) . Crossref, Web of Science, ADS, Google Scholar
R. Bluhm , S.-H. Fung and V. A. Kostelecky , Phys. Rev. D 77 , 065020 ( 2008 ) . Crossref, Web of Science, ADS, Google Scholar
O. Betolami and J. Paramos , Phys. Rev. D 72 , 044001 ( 2005 ) . Crossref, Web of Science, ADS, Google Scholar
R. V. Maluf et al. , Phys. Rev. D 88 , 025005 ( 2013 ) . Crossref, Web of Science, ADS, Google Scholar
R. V. Maluf et al. , Phys. Rev. D 90 , 025007 ( 2014 ) . Crossref, Web of Science, ADS, Google Scholar
T. Jacobson, PoS QG-PH 020 (2007) p. 1. Google Scholar
C. M. Will , Theory and Experiment in Gravitational Physics ( Cambridge Univ. Press , 1993 ) . Crossref, Google Scholar
R. Bluhm et al. , Phys. Rev. D 77 , 125007 ( 2008 ) . Crossref, Web of Science, ADS, Google Scholar
R. Bluhm , arXiv:1302.2278 . Google Scholar
M. D. Seifert , Phys. Rev. D 81 , 065010 ( 2010 ) . Crossref, Web of Science, ADS, Google Scholar
K. Gödel , Rev. Mod. Phys. 21 , 447 ( 1949 ) . Crossref, Web of Science, ADS, Google Scholar
F. M. Paiva , M. Reboucas and A. F. F. Teixeira , Phys. Lett. A 126 , 168 ( 1987 ) . Crossref, Web of Science, ADS, Google Scholar
M. S. Morris and K. S. Thorne , Am. J. Phys. 56 , 395 ( 1988 ) . Crossref, Web of Science, ADS, Google Scholar
S. W. Kim and K. S. Thorne , Phys. Rev. D 43 , 3929 ( 1991 ) . Crossref, Web of Science, ADS, Google Scholar
M. Reboucas and J. Tiomno , Phys. Rev. D 28 , 1251 ( 1983 ) . Crossref, Web of Science, ADS, Google Scholar
M. Reboucas , M. Aman and A. F. F. Teixeira , J. Math. Phys. 27 , 1370 ( 1986 ) . Crossref, Web of Science, ADS, Google Scholar
M. O. Calvao et al. , J. Math. Phys. 29 , 1127 ( 1988 ) . Crossref, Web of Science, ADS, Google Scholar
J. Fonseca-Neto , A. Yu. Petrov and M. Reboucas , Phys. Lett. B 725 , 412 ( 2013 ) . Crossref, Web of Science, ADS, Google Scholar
C. Furtado et al. , Phys. Rev. D 79 , 124039 ( 2009 ) . Crossref, Web of Science, ADS, Google Scholar
C. Furtado et al. , Phys. Lett. B 693 , 494 ( 2010 ) . Crossref, Web of Science, ADS, Google Scholar
C. Furtado et al. , Phys. Rev. D 84 , 047702 ( 2011 ) . Crossref, Web of Science, ADS, Google Scholar