Black hole thermodynamics to all orders in the Planck length in extra dimensions

Nouicer, Khireddine

doi:10.1088/0264-9381/24/23/014

Cited by 65 publications

(52 citation statements)

References 94 publications

(120 reference statements)

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“…The black hole thermodynamical stability is related to the sign of its heat capacity C h . In the following, we analyze the thermal stability of the black hole solutions via the behaviour of their heat capacities [104,137,138]…”

Section: Thermodynamical Stability and Phase Transitionmentioning

confidence: 99%

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Nashed

Hanafy

Bamba

2019

J. Cosmol. Astropart. Phys.

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In mimetic gravity, we derive D-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear forms of the Maxwell field equations in two separate contexts. For the nonlinear case, we derive a new solution having a metric with monopole, dipole and quadrupole terms. The most interesting feature of this black hole is that its dipole and quadruple terms are related by a constant. However, the solution reduces to the linear case of the Maxwell field equations when this constant acquires a null value. Also, we apply a coordinate transformation and derive rotating black hole solutions (for both linear and nonlinear cases). We show that the nonlinear black hole has stronger curvature singularities than the corresponding known black hole solutions in general relativity. We show that the obtained solutions could have at most two horizons. We determine the critical mass of the degenerate horizon at which the two horizons coincide. We study the thermodynamical stability of the solutions. We note that the nonlinear electrodynamics contributes to process a second-order phase transition whereas the heat capacity has an infinite discontinuity.

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Section: Thermodynamical Stability and Phase Transitionmentioning

confidence: 99%

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Nashed

Hanafy

Bamba

2019

J. Cosmol. Astropart. Phys.

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“…On the other hand, one can derive modified blackhole temperatures for m m p from the GUP [26][27][28][29][30][31][32][33]. In particular, we just recall that one obtains…”

Section: Quantum Black-hole Evaporationmentioning

confidence: 99%

Horizon wave function for single localized particles: GUP and quantum black-hole decay

Casadio

Scardigli

2014

Eur. Phys. J. C

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A localized particle in Quantum Mechanics is described by a wave packet in position space, regardless of its energy. However, from the point of view of General Relativity, if the particle's energy density exceeds a certain threshold, it should be a black hole. To combine these two pictures, we introduce a horizon wave function determined by the particle wave function in position space, which eventually yields the probability that the particle is a black hole. The existence of a minimum mass for black holes naturally follows, albeit not in the form of a sharp value around the Planck scale, but rather like a vanishing probability that a particle much lighter than the Planck mass may be a black hole. We also show that our construction entails an effective generalized uncertainty principle (GUP), simply obtained by adding the uncertainties coming from the two wave functions associated with a particle. Finally, the decay of microscopic (quantum) black holes is also described in agreement with what the GUP predicts.

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“…Refs. [45][46][47][48][49]51,52,57]). From the standard Heisenberg uncertainty principle we find the green curve, representing the usual Hawking formula.…”

Section: Applications To Micro Black Holesmentioning

confidence: 99%

Uncertainty relation on a world crystal and its applications to micro black holes

Jizba¹,

Kleinert²,

Scardigli³

2010

Phys. Rev. D

180

176

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We formulate generalized uncertainty relations in a crystal-like universe-a ''world crystal''-whose lattice spacing is of the order of Planck length. In the particular case when energies lie near the border of the Brillouin zone, i.e., for Planckian energies, the uncertainty relation for position and momenta does not pose any lower bound on involved uncertainties. We apply our results to micro black holes physics, where we derive a new mass-temperature relation for Schwarzschild micro black holes. In contrast to standard results based on Heisenberg and stringy uncertainty relations, our mass-temperature formula predicts both a finite Hawking's temperature and a zero rest-mass remnant at the end of the micro black hole evaporation. We also briefly mention some connections of the world-crystal paradigm with 't Hooft's quantization and double special relativity.

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Black hole thermodynamics to all orders in the Planck length in extra dimensions

Cited by 65 publications

References 94 publications

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity

Horizon wave function for single localized particles: GUP and quantum black-hole decay

Uncertainty relation on a world crystal and its applications to micro black holes

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