Homogeneity of Riemannian space-times of Gödel type

Rebouças, M. J.; Tiomno, J.

doi:10.1103/physrevd.28.1251

Cited by 241 publications

(413 citation statements)

References 13 publications

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“…In particular it was observed in [RS98], following [RT83] that the three- 3 The extra bosons are always non-compact. 4 Actually this statement holds only for the vector coset of the single cover of SL(2, R).…”

Section: Sl(2 R)mentioning

confidence: 99%

String theory: exact solutions, marginal deformations and hyperbolic spaces

Orlando¹

2007

Fortschritte der Physik

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In this chapter we present some of the applications for the construction outlined above. After an analysis of the most simple (compact and noncompact) examples, we describe the near-horizon geometry for the Bertotti-Robinson black hole, show some new compactifications and see how Horne and Horowitz's black string can be described in this framework and generalized via the introduction of an electric field.

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Section: Sl(2 R)mentioning

confidence: 99%

String theory: exact solutions, marginal deformations and hyperbolic spaces

Orlando¹

2007

Fortschritte der Physik

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“…The KV fields as well as corresponding Lie algebra of each class are given in Appendix B [24], [25], [29]. Firstly, Hall and Costa [30] have pointed out that the original Gödel metric does not admit HVs and laterly, this result is extended to the ST homogeneous Gödel-type spacetimes [8].…”

Section: Gödel-type Metricsmentioning

confidence: 99%

Matter collineations of spacetime homogeneous G del-type metrics

Camcı

Sharif

2003

Class. Quantum Grav.

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Abstract. The spacetime homogeneous Gödel-type spacetimes which have four classes of metrics are studied according to their matter collineations. The obtained results are compared with Killing vectors and Ricci collineations. It is found that these spacetimes have infinite number of matter collineations in degenerate case, i.e. det(T ab ) = 0, and do not admit proper matter collineations in non-degenerate case, i.e. det(T ab ) = 0. The degenerate case has the new constraints on the parameters m and w which characterize the causality features of the Gödel-type spacetimes.

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“…with m and Ω constants, [34]. In order to avoid the existence of CTCs in these spacetimes we require the no time-travel condition G(r) > 0.…”

Section: Gödel Universesmentioning

confidence: 99%