Topological dyonic dilaton black holes in AdS spaces

Hajkhalili, S.; Sheykhi, Ahmad

doi:10.1103/physrevd.99.024028

Cited by 13 publications

(19 citation statements)

References 42 publications

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“…On the other hand, from solutions (30) and (35) we see that for k = ±1, as r → ∞, we have g rr = −g tt = k + Λr 2 /3, which confirms that the spacetime is asymptotically AdS. A close look on solution (35) shows that an extra term c 0 /r is added to the metric, compared to the topological black hole in Einstein gravity. This leading order term incorporates the effects of the mimetic field on the spacetime geometry far from the horizon.…”

Section: B Solutions With V (φ) = −2λmentioning

confidence: 66%

“…Besides, from solution (34) we see that, for k = 0, the asymptotic behaviour is approximately AdS, unless in the absence of the mimetic field (b 2 = 0), where the asymptotic behaviour of the spacetime is AdS. On the other hand, from solutions (30) and (35) we see that for k = ±1, as r → ∞, we have g rr = −g tt = k + Λr 2 /3, which confirms that the spacetime is asymptotically AdS. A close look on solution (35) shows that an extra term c 0 /r is added to the metric, compared to the topological black hole in Einstein gravity.…”

Section: B Solutions With V (φ) = −2λmentioning

confidence: 85%

“…It was argued that for asymptotically AdS spacetime, in the four-dimensional Einstein-Maxwell theory, there exist black hole solutions whose event horizons may have zero or negative constant curvature and their topologies are no longer the two-sphere S 2 (see e.g. [30][31][32][33][34][35] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Topological black holes in mimetic gravity

Sheykhi,

Grunau

2019

Preprint

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Section: B Solutions With V (φ) = −2λmentioning

confidence: 66%

Section: B Solutions With V (φ) = −2λmentioning

confidence: 85%

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Topological black holes in mimetic gravity

Sheykhi,

Grunau

2019

Preprint

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“…In order to calculate the electric and magnetic potentials, one can use the free energy approach [17,25]. The free energy is given by…”

Section: A First Law Of Black Hole Thermodynamicsmentioning

confidence: 99%

Nonlinearly charged dyonic black holes

Panahiyan

2020

Nuclear Physics B

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In this paper, we investigate the thermodynamics of dyonic black holes in the presence of Born-Infeld electromagnetic field. We show that electric-magnetic duality reported for dyonic solutions with Maxwell field is omitted in case of Born-Infeld generalization. We also confirm that generalization to nonlinear field provides the possibility of canceling the effects of cosmological constant. This is done for nonlinearity parameter with 10 −33 eV 2 order of magnitude which is high nonlinearity regime. In addition, we show that for small electric/magnetic charge and high nonlinearity regime, black holes would develop critical behavior and several phases. In contrast, for highly charged case and Maxwell limits (small nonlinearity), black holes have one thermal stable phase. We also find that the pressure of the cold black holes is bounded by some constraints on its volume while hot black holes' pressure has physical behavior for any volume. In addition, we report on possibility of existences of triple point and reentrant of phase transition in thermodynamics of these black holes.Finally, We show that if electric and magnetic charges are identical, the behavior of our solutions would be Maxwell like (independent of nonlinear parameter and field). In other words, nonlinearity of electromagnetic field becomes evident only when these black holes are charged magnetically and electrically different.

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“…Thereafter, the mimetic model was expanded to the studies of inflation, theories with non-singular cosmological, dark energy, and black hole solutions [1,3,. Moreover, it was argued that in the four-dimensional Einstein-Maxwell theory and for asymptotically AdS spacetime, there exist BH solutions whose event horizons could have zero or negative constant curvature and therefore, their topologies are no longer the two-sphere S 2 [42][43][44][45][46][47][48][49]. Later, many modifications of mimetic gravity have been established, f (R) mimetic gravity, mimetic gravity with the Lagrange multipliers [50,51].…”

Section: Introductionmentioning

confidence: 99%

Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes

Nashed,

Nojiri

2021

Preprint

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In this paper, we employ the mimetic field equations coupled with the Lagrange multiplier and mimetic potential to derive non-trivial spherically symmetric black hole (BH) solutions. We divided this study into three cases: The first one in which we take the Lagrange multiplier and mimetic potential to have vanishing value and derive a BH solution that completely coincides with the BH of the Einstein general relativity despite the non-vanishing value of the mimetic field. The first case is completely consistent with the previous studies in the literature that mimetic theory coincides with GR [1]. In the second case, we derive a solution with a constant value of the mimetic potential and a dynamical value of the Lagrange multiplier. This solution has no horizon and therefore the obtained spacetime does not correspond to the BH. In this solution, there appears the region of the Euclidian signature where the signature of the diagonal components of the metric is (+, +, +, +) or the region with two times where the signature is (+, +, −, −). Finally, we derive a BH solution with non-vanishing values of the Lagrange multiplier, mimetic potential, and mimetic field. This BH shows a soft singularity compared with the Einstein BH solution. The relevant physics of the third case is discussed by showing their behavior of the metric potential at infinity, calculating their energy conditions, and study their thermodynamical quantities. We give a brief discussion on how our third case can generate a BH with three horizons as in the de Sitter-Reissner-Nordström black hole spacetime, where the largest horizon is the cosmological one and two correspond to the outer and inner horizons of the BH. Even in the third case, there appears the region of the Euclidian signature or the region with two times. We give a condition that such unphysical region(s) is hidden inside the black hole horizon and the existence of the region(s) becomes less unphysical. We also study the thermodynamics of the multi-horizon BH and consider the extremal case, where the radii of two horizons coincide with each other. We observe that the Hawking temperature and the heat capacity vanish in the extremal limit. Finally, we would like to stress the fact that in spite that the field equations we use have no cosmological constant our BH solutions of the second and third case behave as AdS/dS.

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Topological dyonic dilaton black holes in AdS spaces

Cited by 13 publications

References 42 publications

Topological black holes in mimetic gravity

Topological black holes in mimetic gravity

Nonlinearly charged dyonic black holes

Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes

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