Bound on Photon Circular Orbits in General Relativity and Beyond

Chakraborty, Sumanta

doi:10.3390/galaxies9040096

“…Thus finiteness of metric demands q to vanish as well, leading to flat spacetime throughout, consistent with non-dynamical nature of gravity in three dimensions. While determining the photon circular orbits [32,33], first of all, we note that the metric is independent of the coordinates t and φ, therefore we have two constants of motion -(a) the energy p t = −E and (b) the angular momentum p φ = . Therefore, the only non-trivial geodesic equation to solve is the radial one, which becomes,…”

Section: Photon Circular Orbits For Btz Black Holesmentioning

confidence: 99%

Strong cosmic censorship conjecture for a charged BTZ black hole

Singha,

Chakraborty,

Dadhich

2022

Preprint

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The strong cosmic censorship conjecture, whose validation asserts the deterministic nature of general relativity, has been studied for charged BTZ black holes in three dimensional general relativity, as well as for Nth order pure Lovelock gravity in d=2N+1 spacetime dimensions. Through both analytical and numerical routes, we have computed the ratio of the imaginary part of the quasi-normal mode frequencies with the surface gravity at the Cauchy horizon. The lowest of which corresponds to the key parameter associated with violation of strong cosmic censorship conjecture. Our results demonstrate that this parameter is always less than the critical value (1/2), thereby respecting the strong cosmic censorship conjecture. This is in complete contrast to the four or, higher dimensional black holes, as well as for rotating BTZ black hole, where the violation of strong cosmic censorship conjecture exists. Implications and possible connection with the stability of the photon orbits have been discussed.

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“…At first, we determine the position of the photon circular orbits [44,45]. We note that the metric Eq.…”

Section: Analytical Estimation Of the Lyapunov Exponentmentioning

confidence: 99%

Strong cosmic censorship conjecture for a charged BTZ black hole

Singha

¹

,

Chakraborty

²

,

Dadhich

³

2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

The strong cosmic censorship conjecture, whose validation asserts the deterministic nature of general relativity, has been studied for charged BTZ black holes in three dimensional general relativity, as well as for Nth order pure Lovelock gravity in d=2N+1 spacetime dimensions. Through both analytical and numerical routes, we have computed the ratio of the imaginary part of the quasi-normal mode frequencies with the surface gravity at the Cauchy horizon. The lowest of which corresponds to the key parameter associated with violation of strong cosmic censorship conjecture. Our results demonstrate that this parameter is always less than the critical value (1/2), thereby respecting the strong cosmic censorship conjecture. This is in complete contrast to the four or, higher dimensional black holes, as well as for rotating BTZ black hole, where the violation of strong cosmic censorship conjecture exists. Implications and possible connection with the stability of the photon orbits have been discussed.

show abstract