On the Entropy of Deformed Phase Space Black Hole and the Cosmological Constant

Crespo-Hernández, A.; Mena-Barboza, E.A.; Sabido, M.

doi:10.3390/e19030091

Cited by 7 publications

(5 citation statements)

References 34 publications

(80 reference statements)

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“…Let us start by reviewing the calculation of the entropy for the Schwarzschild black hole, using the Feynman-Hibbs procedure. This approach was originally applied to the Schwarzschild black hole [11] and subsequently used for different black hole models [13,14,16]. In the limit of small Ω and taking x = l P ( √ 6Ω − 1/ √ 2), Eq.…”

Section: Modified Entropy-area Relationshipmentioning

confidence: 99%

On emergent gravity, black hole entropy and galactic rotation curves

Díaz-Saldaña

Lopez-Dominguez

Sabido

2018

Physics of the Dark Universe

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In this work we derive a generalized Newtonian gravitational force and show that it can account for the anomalous galactic rotation curves. We derive the entropy-area relationship applying the Feynman-Hibbs procedure to the supersymmetric Wheeler-DeWitt equation of the Schwarzschild black hole. We obtain the modifications to the Newtonian gravitational force from the entropic formulation of gravity.

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Section: Modified Entropy-area Relationshipmentioning

confidence: 99%

On emergent gravity, black hole entropy and galactic rotation curves

Díaz-Saldaña

Lopez-Dominguez

Sabido

2018

Physics of the Dark Universe

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“…In cosmology those ideas were applied to the very early universe [18,19,20,21,22] and also the present universe [23,24,25,26,27,28,30,31]. Noncommutativity ideas have also been applied to black hole physics [32,33,34]. In the very early universe noncommutativity may have occurred, naturally, due to the very high energies present at that epoch.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids

Oliveira‐Neto

Rodrigues

2019

Int. J. Mod. Phys. A

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In the present letter, we consider homogeneous and isotropic noncommutative cosmological models induced by a symplectic formalism coupled to phantom perfect fluids and a cosmological constant. After computing the field equations, we solve them to find the scalar factor dynamics. We restrict our attention to expansive solutions, that may represent the present expansion of our Universe. Those solutions generate big rip singularities. We study how the parameters, of those models, modify the time it takes to the scalar factor expands from zero till infinity, at the big rip.

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“…By using these thermodynamic variables, the black hole can be treated as a thermal system, and the laws of thermodynamics for the black hole can be defined. Various aspects of its thermodynamics are now studied [54][55][56].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and Cosmic Censorship Conjecture in Kerr–Newman–de Sitter Black Hole

Gwak

2018

Entropy

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We investigate the laws of thermodynamics and the validity of the cosmic censorship conjecture in the Kerr–Newman–de Sitter black hole under charged particle absorption. Here, the black hole undergoes infinitesimal changes because of the momenta carried by the particle entering it. The cosmic censorship conjecture is tested by whether the black hole can be overcharged beyond the extremal condition under absorption. The changes in the black hole violate the second law of thermodynamics. Furthermore, this is related to the cosmic censorship conjecture. To resolve this violation, we impose a reference energy of the particle at the asymptotic region based on the first law of thermodynamics. Under imposition of the reference energy, the absorption satisfies the laws of thermodynamics, and the extremal black hole cannot be overcharged. Thus, the cosmic censorship conjecture is valid under the absorption.

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On the Entropy of Deformed Phase Space Black Hole and the Cosmological Constant

Cited by 7 publications

References 34 publications

On emergent gravity, black hole entropy and galactic rotation curves

On emergent gravity, black hole entropy and galactic rotation curves

Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids

Thermodynamics and Cosmic Censorship Conjecture in Kerr–Newman–de Sitter Black Hole

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