Stable causality of Black Saturns

Szybka, Sebastian J.

doi:10.1007/jhep05(2011)052

Cited by 6 publications

(10 citation statements)

References 4 publications

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“…Studies of regularity and causal structure of black rings and Saturns can be found in[81,66,67,305,70] 6. It should be noted that, although formulated for 4-dimensional spacetimes, the results in[83] remain valid without changes in higher-dimensional spacetimes.…”

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confidence: 99%

Stationary Black Holes: Uniqueness and Beyond

Chruściel

Costa

Heusler

2012

Living Rev. Relativ.

539

525

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The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are characterized by their mass, angular momentum and global charges. Moreover, the high degree of symmetry displayed by vacuum and electro-vacuum black-hole spacetimes ceases to exist in self-gravitating non-linear field theories. This text aims to review some developments in the subject and to discuss them in light of the uniqueness theorem for the Einstein-Maxwell system.

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mentioning

confidence: 99%

Stationary Black Holes: Uniqueness and Beyond

Chruściel

Costa

Heusler

2012

Living Rev. Relativ.

539

525

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“…Therefore the only free parameter of model is a 1 . Using ansatz (32) in the corrected entropy (30) give us results which is illustrated by the Fig. 3.…”

Section: Corrected Thermodynamicsmentioning

confidence: 99%

“…It may be noted that conditions for meta-stability of a black Saturn have also been studied [31]. It has been demonstrated that the black Saturn is causal stably on the closure of the domain of outer communications [32]. The relation between the black Saturn and Myers-Perry black hole have also been analyzed [33].…”

Section: Introductionmentioning

confidence: 99%

Correction terms for the thermodynamics of a black Saturn

Faizal

Pourhassan

2015

Physics Letters B

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In this paper, we will analyze the effects of thermal fluctuations on the stability of a black Saturn. The entropy of the black Saturn will get corrected due to these thermal fluctuations. We will demonstrate that the correction term generated by these thermal fluctuations is a logarithmic term. Then we will use this corrected value of the entropy to obtain bounds for various parameters of the black Saturn. We will also analyze the thermodynamical stability of the black Saturn in presence of thermal fluctuations, using this corrected value of the entropy.

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“…A thorough analysis (see [1,10,11]) has shown that, under the assumption of parameters a i being pairwise distinct, the metrics in the Black Saturn family describe asymptotically flat, stably causal black hole space-times with smooth domains of outer communications. To guarantee the above listed desired properties of a well-behaved black hole space-time one needs to tune the parameters c 1 , c 2 , k and q in terms of a i 's.…”

Section: Introductionmentioning

confidence: 99%

“…To make the paper self-contained we present in the Appendix the Black Saturn metric of [1] in generalised Weyl coordinates. For the details of construction and properties we refer the reader to [1] and [10,11].…”

Section: Introductionmentioning

confidence: 99%