Lux in obscuro II: photon orbits of extremal AdS black holes revisited

Tang, Zi-Yu; Ong, Yen Chin; Wang, Bin

doi:10.1088/1361-6382/aa95ff

Cited by 23 publications

(12 citation statements)

References 121 publications

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“…Stable photon rings are often encountered near (hypothetical) horizonless ultra-compact objects, thus indicating on their instability [21]. They were shown to exist also on the horizons of extreme static black holes [22,23].…”

Section: Introductionmentioning

confidence: 99%

Completing characterization of photon orbits in Kerr and Kerr-Newman metrics

Gal’tsov

Kobialko

2019

Phys. Rev. D

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Recently, several new characteristics have been introduced to describe null geodesic structure of stationary spacetimes, such as photon regions (PR) and transversely trapping surfaces (TTS). The former are three-dimensional domains confining the spherical photon orbits, while the latter are closed twosurface of spherical topology which fill other regions called TTR. It is argued that in generic stationary axisymmetric spacetime it is natural to consider also the non-closed TTSs of the geometry of spherical cups, satisfying the same conditions ("partial" TTS or PTTS), which fill the three-dimensional regions, PTTR. We then show that PR, TTR and PTTR together with the corresponding anti-trapping regions constitute the complete set of regions filling the entire three-space (where timelike surfaces are defined) of Kerr-like spacetimes. This construction provides a novel optical description of such spacetimes without recurring to explicit solution of the geodesic equations. Applying this analysis to Kerr-Newman metrics (including the overspinning ones) we reveal four different optical types for different sets of the rotation and charge parameters. To illustrate their properties we extend Synge analysis of photon escape in the Schwarzschild metric to stationary spacetimes and construct density graphs describing escape of photons from all the above regions.

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Section: Introductionmentioning

confidence: 99%

Completing characterization of photon orbits in Kerr and Kerr-Newman metrics

Gal’tsov

Kobialko

2019

Phys. Rev. D

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“…Photon orbits and thermodynamic phase transition were examined in Gauss-Bonnet AdS black holes [36], massive black holes [37], and even in a general spherically symmetric spacetime [38]. In addition, the presence of photon orbit also reveals a York-Hawking-Page type phase transition of spacetimes [39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Wang

Liu

et al. 2019

Phys. Rev. D

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Comparing to the charged AdS black hole in GR, a new interesting phase transition, the reentrant phase transition, is observed in a charged Born-Infeld-AdS black hole system. It is worth to extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic critical points, the black hole systems are divided into four cases with different values of Born-Infeld parameter b, where the black hole systems can have no phase transition, reentrant phase transition, or Van der Waals-like phase transition. For these different cases, we obtain the corresponding phase structures in pressure-temperature diagram and temperature-specific volume diagram. The tiny differences between these cases are clearly displayed. On the other hand, the radius rps and the minimal impact parameter ups of the photon sphere are calculated via the effective potential of the radial motion of photons. For different cases, rps and ups are found to have different behaviors. In particular, with the increase of rps or ups, the temperature possesses a decreaseincrease-decrease-increase behavior for fixed pressure if there exists the reentrant phase transition.While for fixed temperature, the pressure will show an increase-decrease-increase-decrease behavior instead. These behaviors are quite different from that of the Van der Waals-like phase transition.Near the critical point, the changes of rps and ups among the black hole phase transition confirm an universal critical exponent 1 2 . Finally, we also find that the temperature and pressure corresponding to the extremal points of rps and ups are highly consistent with the thermodynamic metastable curve for the black hole systems with different values of b. Therefore, all the results indicate that, for the charged Born-Infeld-AdS black holes, not only the Van der Waals-like phase transition, but also the reentrant phase transition can be reflected through the photon sphere.

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“…The research results in Refs. [47][48][49] imply that the presence of photon orbits signals a possible York-Hawking-Page type phase transition or instability of spacetimes.…”

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confidence: 99%

Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes

2019

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In this paper, we aim to examine the relationship between the unstable circular photon orbit and the thermodynamic phase transition for a rotating Kerr-AdS black hole. On one side, we give a brief review of the phase transition for the Kerr-AdS black hole. The coexistence curve and the metastable curve corresponding to the phase transition are clearly shown. On the other side, we calculate the radius and the angular momentum of the unstable circular orbits for a photon by analyzing the effective potential. Then combining these two sides, we find the following results. i)The radius and the angular momentum of the unstable circular photon orbits demonstrate the nonmonotonic behaviors when the thermodynamic phase transition takes place. So from the behavior of the circular orbit, one can determine whether there exists a thermodynamic phase transition. ii)The difference of the radius or the angular momentum for the coexistence small and large black holes can be treated as an order parameter to describe the phase transition. And near the critical point, it has a critical exponent of 1 2 . iii) The temperature and pressure corresponding to the extremal points of the radius or the angular momentum of the unstable circular photon orbit completely agree with that of the metastable curves from the thermodynamic side. Thus, these results confirm the relationship between the geodesics and thermodynamic phase transition for the Kerr-AdS black hole. Therefore, on one hand, we are allowed to probe the thermodynamic phase transition from the gravity side. On the other hand, the signature of the strong gravitational effect can also be revealed from the black hole thermodynamics.

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Lux in obscuro II: photon orbits of extremal AdS black holes revisited

Cited by 23 publications

References 121 publications

Completing characterization of photon orbits in Kerr and Kerr-Newman metrics

Completing characterization of photon orbits in Kerr and Kerr-Newman metrics

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes

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