Exact solutions of topologically massive gravity with a cosmological constant

Nutku, Y.

doi:10.1088/0264-9381/10/12/022

Cited by 119 publications

(163 citation statements)

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“…This process was further clarified by Horowitz and Welch [18] and we shall use their approach here. Earlier [13], such a re-identification was carried out for λ 1 = λ 2 which results in a stationary 2-papameter black hole solution. But now we shall show that the general Bianchi Type V III solution can also be re-identified to yield a non-stationary, non-axisymmetric 3-parameter solution that has many properties akin to those of a black hole.…”

Section: Black Holes In Tmgmentioning

confidence: 99%

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Spinor formulation of topologically massive gravity

Aliev¹,

Nutku²

1995

Class. Quantum Grav.

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In the framework of real 2-component spinors in three dimensional spacetime we present a description of topologically massive gravity (TMG) in terms of differential forms with triad scalar coefficients. This is essentially a real version of the Newman-Penrose formalism in general relativity. A triad formulation of TMG was considered earlier by Hall, Morgan and Perjes, however, due to an unfortunate choice of signature some of the spinors underlying the Hall-Morgan-Perjes formalism are real, while others are pure imaginary. We obtain the basic geometrical identities as well as the TMG field equations including a cosmological constant for the appropriate signature. As an application of this formalism we discuss the Bianchi Type V III − IX exact solutions of TMG and point out that they are parallelizable manifolds. We also consider various re-identifications of these homogeneous spaces that result in black hole solutions of TMG.

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Section: Black Holes In Tmgmentioning

confidence: 99%

“…describe the location of the outer and inner event horizons If we further specialize to p = 0 which is equivalent to λ 1 = λ 2 , the metric becomes stationary [13].…”

Section: Black Holes In Tmgmentioning

confidence: 99%

Spinor formulation of topologically massive gravity

Aliev¹,

Nutku²

1995

Class. Quantum Grav.

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“…By virtue of (2.2) and (2.3), the linearized tensor δE µν obeys the generalized Bianchi identities 5) with D the background covariant derivative. Now if the background admits a Killing vector ξ µ , then the current…”

Section: Introductionmentioning

confidence: 98%

Black hole mass and angular momentum in topologically massive gravity

Bouchareb

Clément

2007

Class. Quantum Grav.

196

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We extend the Abbott-Deser-Tekin approach to the computation of the Killing charge for a solution of topologically massive gravity (TMG) linearized around an arbitrary background. This is then applied to evaluate the mass and angular momentum of black hole solutions of TMG with non-constant curvature asymptotics. The resulting values, together with the appropriate black hole entropy, fit nicely into the first law of black hole thermodynamics. *

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“…More characteristic are geometries that obey the full TMG equations but not their Einstein part alone, some of which are given in [5,6,7], but these spaces do not correspond to bounded distributions. There is as yet no known"Schwarzschild " solution, let alone more complicated asymptotically de-Sitter or flat (for Λ = 0 ) ones.…”

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confidence: 99%