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Title: Black hole solutions in mimetic Born-Infeld gravity

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1417783
Resource Type:
Journal Article: Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 1; Related Information: CHORUS Timestamp: 2018-01-23 13:52:11; Journal ID: ISSN 1434-6044
Publisher:
Springer Science + Business Media
Country of Publication:
Germany
Language:
English

Citation Formats

Chen, Che-Yu, Bouhmadi-López, Mariam, and Chen, Pisin. Black hole solutions in mimetic Born-Infeld gravity. Germany: N. p., 2018. Web. doi:10.1140/epjc/s10052-018-5556-z.
Chen, Che-Yu, Bouhmadi-López, Mariam, & Chen, Pisin. Black hole solutions in mimetic Born-Infeld gravity. Germany. doi:10.1140/epjc/s10052-018-5556-z.
Chen, Che-Yu, Bouhmadi-López, Mariam, and Chen, Pisin. 2018. "Black hole solutions in mimetic Born-Infeld gravity". Germany. doi:10.1140/epjc/s10052-018-5556-z.
@article{osti_1417783,
title = {Black hole solutions in mimetic Born-Infeld gravity},
author = {Chen, Che-Yu and Bouhmadi-López, Mariam and Chen, Pisin},
abstractNote = {},
doi = {10.1140/epjc/s10052-018-5556-z},
journal = {European Physical Journal. C, Particles and Fields},
number = 1,
volume = 78,
place = {Germany},
year = 2018,
month = 1
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1140/epjc/s10052-018-5556-z

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  • We introduce new black hole solutions to the Einstein-Yang-Mills-Born-Infeld (EYMBI), Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet (EYMBIGB), and Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet-Lovelock (EYMBIGBL) gravities in higher dimensions N{>=}5 to investigate the roles of Born-Infeld parameter {beta}. It is shown that these solutions in the limits of {beta}{yields}0 and {beta}{yields}{infinity} represent pure gravity and gravity coupled with Yang-Mills fields, respectively. For 0<{beta}<{infinity} it yields a variety of black holes, supporting even regular ones at r=0.
  • Here, the Eddington-inspired-Born-Infeld (EiBI) model is reformulated within the mimetic approach. In the presence of a mimetic field, the model contains non-trivial vacuum solutions which could be free of spacetime singularity because of the Born-Infeld nature of the theory. We study a realistic primordial vacuum universe and prove the existence of regular solutions, such as primordial inflationary solutions of de Sitter type or bouncing solutions. Besides, the linear instabilities present in the EiBI model are found to be avoidable for some interesting bouncing solutions in which the physical metric as well as the auxiliary metric are regular at the backgroundmore » level.« less
  • We construct a new class of charged rotating solutions of (n+1)-dimensional Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the presence of cosmological constant and investigate their properties. These solutions are asymptotically (anti)-de Sitter and reduce to the solutions of Einstein-Maxwell gravity as the Born-Infeld parameters goes to infinity. We find that these solutions can represent black branes, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We compute temperature, mass, angular momentum, entropy, charge and electric potential of the black brane solutions. We obtain amore » Smarr-type formula and show that these quantities satisfy the first law of thermodynamics. We also perform a stability analysis by computing the heat capacity and the determinant of Hessian matrix of mass of the system with infinite boundary with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that the system is thermally stable in the whole phase space. Also, we find that there exists an unstable phase when the finite size effect is taken into account.« less
  • We construct a new class of (n+1)-dimensional (n{>=}3) black hole solutions in Einstein-Born-Infeld-dilaton gravity with Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can represent black holes, with inner and outer event horizons, an extreme black hole, or a naked singularity provided the parameters of the solutions are chosen suitably. We compute the thermodynamic quantities of the black hole solutions and find that these quantities satisfy the first law of thermodynamics. We also perform a stability analysis and investigate the effect of dilaton onmore » the stability of the solutions.« less
  • In this paper, we present topological black holes of third order Lovelock gravity in the presence of cosmological constant and nonlinear electromagnetic Born-Infeld field. Depending on the metric parameters, these solutions may be interpreted as black hole solutions with inner and outer event horizons, an extreme black hole or naked singularity. We investigate the thermodynamics of asymptotically flat solutions and show that the thermodynamic and conserved quantities of these black holes satisfy the first law of thermodynamic. We also endow the Ricci flat solutions with a global rotation and calculate the finite action and conserved quantities of these class ofmore » solutions by using the counterterm method. We compute the entropy through the use of the Gibbs-Duhem relation and find that the entropy obeys the area law. We obtain a Smarr-type formula for the mass as a function of the entropy, the angular momenta, and the charge, and compute temperature, angular velocities, and electric potential and show that these thermodynamic quantities coincide with their values which are computed through the use of geometry. Finally, we perform a stability analysis for this class of solutions in both the canonical and the grand-canonical ensemble and show that the presence of a nonlinear electromagnetic field and higher curvature terms has no effect on the stability of the black branes, and they are stable in the whole phase space.« less