Note on regular black holes in a brane world

Neves, Juliano C. S.

doi:10.1103/physrevd.92.084015

Cited by 14 publications

(12 citation statements)

References 49 publications

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“…In [18], in the same direction, we obtained RBHs with spherical symmetry that do not obey the weak energy condition. Regular metrics of black holes were presented in other scenarios, contexts beyond GR like the brane world context [19][20][21]. The class of RBHs * Electronic address: r.v.maluf@fisica.ufc.br † Electronic address: nevesjcs@ime.unicamp.br investigated in this article was generated by us in an article dedicated to axial symmetry [17].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of a class of regular black holes with a generalized uncertainty principle

Maluf

Neves

2018

Phys. Rev. D

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In this article, we present a study on thermodynamics of a class of regular black holes. Such a class includes Bardeen and Hayward regular black holes. We obtained thermodynamic quantities like the Hawking temperature, entropy, and heat capacity for the entire class. As part of an effort to indicate some physical observable to distinguish regular black holes from singular black holes, we suggest that regular black holes are colder than singular black holes. Besides, contrary to the Schwarzschild black hole, that class of regular black holes may be thermodynamically stable. From a generalized uncertainty principle, we also obtained the quantum-corrected thermodynamics for the studied class. Such quantum corrections provide a logarithmic term for the quantum-corrected entropy.

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Section: Introductionmentioning

confidence: 99%

Thermodynamics of a class of regular black holes with a generalized uncertainty principle

Maluf

Neves

2018

Phys. Rev. D

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“…By introducing the new notations we rewrite the spacetime metric (13) in more compact, i.e., Kerr-like form as…”

Section: Generic Rotating Regular Black Hole Solution Of Nonlinementioning

confidence: 99%

“…A different approach to the regular black hole solutions has been applied by Hayward [10]. Modification of the mass function in the Bardeen and Hayward solutions and inclusion of the cosmological constant can be found in the new solu- * Electronic address: bobir.toshmatov@fpf.slu.cz † Electronic address: zdenek.stuchlik@fpf.slu.cz ‡ Electronic address: ahmedov@astrin.uz tions of Neves and Saa [11][12][13]. The regular black hole solution in the f (T ) gravity with nonlinear electrodynamics has been found in [14].…”

Section: Introductionmentioning

confidence: 99%

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

2017

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We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled to general relativity that for special values of the spacetime parameters reduce to the Bardeen and Hayward spacetimes. We show that the weak and strong energy conditions are violated inside the Cauchy horizons of these generic rotating black holes. We give the boundary between the rotating black hole and no-horizon spacetimes and determine the black hole horizons and the boundary of the ergosphere. We introduce the separated Carter equations for the geodesic motion in these rotating spacetimes. For the most interesting new class of the regular spacetimes, corresponding for magnetic charges to the Maxwell field in the weak field limit of the nonlinear electrodynamics, we determine the structure of the circular geodesics and discuss their properties. We study the epicyclic motion of a neutral particle moving along the stable circular orbits around the "Maxwellian" rotating regular black holes. We show that epicyclic frequencies measured by the distant observers and related to the oscillatory motion of the neutral test particle along the stable circular orbits around the rotating singular and regular Maxwellian black holes are always smaller than ones in the Kerr spacetime.

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“…Inside the event horizon, the Bardeen metric hides a de Sitter core instead of a Schwarzschild singularity. A de Sitter core inside the event horizon avoids either the point singularity of spherical black holes [20][21][22][23][24][25][26][27][28] or the ring singularity in geometries with axial symmetry [29][30][31][32][33][34]. As is well-known, the de Sitter core provides energy conditions violations in order to avoid consequences of the singularities theorems.…”

Section: Introductionmentioning

confidence: 99%

Upper bound on the GUP parameter using the black hole shadow

Neves

2020

Eur. Phys. J. C

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An upper bound on the parameter that provides a generalized uncertainty principle (GUP) is obtained from the black hole shadow. With the aid of a recent constraint between regular black holes and the GUP parameter, it is indicated a relation between this parameter and the deviation from circularity of the black hole shadow. In the case of the recent announcement of the M87* results from the Event Horizon Telescope collaboration, a deviation from circularity 10% imposes a GUP parameter λ < 10 45 .

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Note on regular black holes in a brane world

Cited by 14 publications

References 49 publications

Thermodynamics of a class of regular black holes with a generalized uncertainty principle

Thermodynamics of a class of regular black holes with a generalized uncertainty principle

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

Upper bound on the GUP parameter using the black hole shadow

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