Adiabatic analysis of the rotating BTZ black hole

Fathi, Mohsen; Lepe, Samuel; Villanueva, J. R.

doi:10.48550/arxiv.2103.06329

Cited by 1 publication

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References 62 publications

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“…Additionally, the rotating BTZ BHs, have been proven to display no kind of superradiance, if we considered Dirac fields to vanish at infinity [50]. Some thermodynamic aspects of the rotating BTZ BH have been investigated in [51].…”

Section: Introductionmentioning

confidence: 99%

New black hole solutions in three-dimensional $\mathit{f(R)}$ gravity

Nashed

Sheykhi

2021

Preprint

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We construct two new classes of analytical solutions in three-dimensional spacetime and in the framework of f (R) gravity. The first class represents a non-rotating black hole (BH) while the second class corresponds to a rotating BH solution. The Ricci scalar of these BH solutions have non-trivial values and are described by the gravitational mass M , two angular momentums J and J1, and an effective cosmological constant Λ ef f . Moreover, these solutions do not restore the 3-dimensional Bañados-Teitelboim-Zanelli (BTZ) solutions of general relativity (GR) which implies the novelty of the obtained BHs in f (R) gravity. Depending on the range of the parameters, these solutions admit rotating/non-rotating asymptotically AdS/dS BH interpretation in spite that the field equation of f (R) has no cosmological constant. Interestingly enough, we observe that in contrast to BTZ solution which has only causal singularity and scalar invariants are constant everywhere, the scalar invariants of these solutions indicate strong singularity for the spacetime. Furthermore, we construct the forms of the f (R) function showing that they behave as polynomial functions. Finally, we show that the obtained solutions are stable from the viewpoint that heat capacity has a positive value, and also from the condition of Ostrogradski which state that the second derivative of f (R) should have a positive value.

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Section: Introductionmentioning

confidence: 99%