Three dimensional Lifshitz-like black hole in a special class of F(R) gravity

Hendi, S. H.; Ramezani-Arani, R.; Rahimi, Esmaeil

doi:10.1016/j.physletb.2020.135436

Cited by 9 publications

(7 citation statements)

References 29 publications

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“…Here the Lie algebra of these five Noether symmetries are the same as (37). One also finds that there are seven Noether symmetries satisfying the Noether symmetry equations (32), which are X 1 , X 2 , X 3 , X 4 given in (35) and (36), and…”

Section: Noether Symmetry In Three-dimensional Spacetimementioning

confidence: 93%

“…It is possible to find solutions to the Noether symmetry equations (32) where the form of f is f (R) = f 0 R n with f 0 and n being constants. In this case, there are five Noether symmetries X 1 , X 2 , X 3 , X 4 , given above by (35) and (36), and additionally…”

Section: Noether Symmetry In Three-dimensional Spacetimementioning

confidence: 99%

“…In this case, we take the four Noether symmetries given in ( 35) and (36), which imposes an arbitrary form of the function f (R). The first integrals of this case are given by (51), ( 52), ( 53) and E L = 0 which gives…”

Section: Case (Iii)mentioning

confidence: 99%

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Three-dimensional black holes via Noether symmetries

Camci

2020

Preprint

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We investigate the Noether symmetries of the Lagrangian for the stationary rotating BTZ-type three-dimensional spacetimes in f (R) theory of gravity. A detailed analysis of Noether symmetries of (2+1)-dimensional rotating BTZ-type black hole spacetime model is presented. Applying the Noether symmetry approach, the first integrals (constants of motion) for each of Noether symmetries are obtained to look for the exact solutions. After solving the first integral equations depending on the form of the function f (R), we derived some new (2+1)-dimensional rotating BTZ-type black hole solutions. We discussed the physical implications of the derived exact solutions. The thermodynamical properties of the obtained BTZ-type black hole solutions are analyzed by making use of the mass M and the angular momentum J in terms of r±, where r+ is the event horizon and r− is the inner horizon. Further, it is shown that thermodynamic quantities obey the first law, and the Smarr-like formulas of the solutions we found are obtained.

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Section: Noether Symmetry In Three-dimensional Spacetimementioning

confidence: 93%

Section: Noether Symmetry In Three-dimensional Spacetimementioning

confidence: 99%

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Three-dimensional black holes via Noether symmetries

Camci

2020

Preprint

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“…Thin shells of matter [61] as well as thin-shell wormholes [62][63][64][65][66] were also widely examined. Black hole solutions with (2 + 1) dimensions in F(R) gravity have been found [67][68][69][70]. In the recent article [71], thin shells of matter in (2 + 1) dimensions within F(R) theory have been analyzed in detail and examples of stable configurations under radial perturbations have been found.…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

2021

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We construct a broad family of thin-shell wormholes with circular symmetry in $$(2+1)$$ ( 2 + 1 ) -dimensional F(R) theories of gravity, with constant scalar curvature R. We study the stability of the static configurations under perturbations preserving the symmetry. We present examples of charged thin-shell wormholes which are asymptotically anti-de Sitter at both sides of the throat. We show that stable solutions are possible when suitable values of the parameters are taken.

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“…Black hole solutions with (2 + 1) dimensions in F (R) gravity have been found [27][28][29][30]. In the recent article [31], thin shells of matter in (2+1) dimensions within F (R) theory have been analysed in detail and examples of stable configurations under radial perturbations have been found.…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in (2+1)-dimensional F(R) theories

Bejarano,

Eiroa,

Figueroa-Aguirre

2021

Preprint

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We construct a broad family of thin-shell wormholes with circular symmetry in (2+1)dimensional F (R) theories of gravity, with constant scalar curvature R. We study the stability of the static configurations under perturbations preserving the symmetry. We present charged thin-shell wormholes as examples of spacetimes with a negative cosmological constant. We show that stable solutions are possible when suitable values of the parameters are taken.

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Three dimensional Lifshitz-like black hole in a special class of F(R) gravity

Cited by 9 publications

References 29 publications

Three-dimensional black holes via Noether symmetries

Three-dimensional black holes via Noether symmetries

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

Thin-shell wormholes in (2+1)-dimensional F(R) theories

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