Research PapersNo Access

ON THE ENERGY–MOMENTUM FLUX IN GÖDEL-TYPE MODELS

S. C. ULHOA

Faculdade Gama, Universidade de Brasília, 72444-240, Setor Leste (Gama), Brasília, DF, Brazil

Search for more papers by this author

A. F. SANTOS

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

Search for more papers by this author

, and

R. G. G. AMORIM

Faculdade Gama, Universidade de Brasília, 72444-240, Setor Leste (Gama), Brasília, DF, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0217732313500399Cited by:2 (Source: Crossref)

Abstract

In this paper, we work in the context of Teleparallelism Equivalent to General Relativity (TEGR) in order to construct the energy–momentum flux for Gödel-type solutions of Einstein's equations. We use an stationary observer, which is settled by the tetrad choice, to obtain the gravitational pressure for each direction of space in cartesian coordinates. Then, we write down the total pressure for each direction in terms of the pressure of the fluid, thus we are able to identify the role of the gravitational pressure.

Keywords:

PACS: 04.20-q, 04.20.Cv, 02.20.Sv

References

G. Gamow, Nature 158, 549 (1946), DOI: 10.1038/158549a0. Crossref, Web of Science, ADS, Google Scholar
K. Gödel, Rev. Mod. Phys. 21, 447 (1949). Crossref, Web of Science, ADS, Google Scholar
M. Rebouças and J. Tiomno, Phys. Rev. D 28, 1251 (1983). Crossref, Web of Science, ADS, Google Scholar
M. Rebouças, M. Aman and A. F. F. Teixeira, J. Math. Phys. 27, 1370 (1985). Crossref, Web of Science, ADS, Google Scholar
M. O. Galvaoet al., J. Math. Phys. 29, 1127 (1988). Web of Science, Google Scholar
C. Furtadoet al., Phys. Rev. D 79, 124039 (2009), DOI: 10.1103/PhysRevD.79.124039. Crossref, Web of Science, ADS, Google Scholar
C. Furtadoet al., Phys. Lett. B 693, 494 (2010). Crossref, Web of Science, ADS, Google Scholar
M. J. Rebouças and J. Santos, Phys. Rev. D 80, 063009 (2009). Crossref, Web of Science, Google Scholar
C. Furtadoet al., Phys. Rev. D 84, 047702 (2011), DOI: 10.1103/PhysRevD.84.047702. Crossref, Web of Science, Google Scholar
M. Gurses , arXiv:0801.0516 . Google Scholar
Y. N. Obukhov , arXiv:astro-ph/0008106 . Google Scholar
Yu. N. Obukhov and T. Vargas, Phys. Lett. A 327, 365 (2004), DOI: 10.1016/j.physleta.2004.06.003. Crossref, Web of Science, ADS, Google Scholar
A. A. Sousa, R. B. Pereira and A. C. Silva, Gravit. Cosmol. 16, 25 (2010), DOI: 10.1134/S0202289310010044. Crossref, Web of Science, ADS, Google Scholar
E. Cartan, On a generalization of the notion of Reimann curvature and spaces with torsion, NATO ASIB Proc. 58: Cosmology and Gravitation: Spin, Torsion, Rotation, and Supergravity, eds. P. G. Bergmann and V. de Sabbata (1980) pp. 489–491. Google Scholar
J. W. Maluf, J. Math. Phys. 35, 335 (1994), DOI: 10.1063/1.530774. Crossref, Web of Science, ADS, Google Scholar
V. C. de Andrade, L. C. T. Guillen and J. G. Pereira, Phys. Rev. Lett. 84, 4533 (2000), DOI: 10.1103/PhysRevLett.84.4533. Crossref, Web of Science, ADS, Google Scholar
J. W. Maluf, Ann. Phys. 14, 723 (2005), DOI: 10.1002/andp.200510161. Crossref, Web of Science, Google Scholar
R. d'Inverno, Introducing Einstein's Relativity, 4th edn. (Clarendon Press, 1996). Google Scholar
B. Mashhoon , arXiv:gr-qc/0311030 . Google Scholar