Extended quasilocal Thermodynamics of Schwarzchild–anti de Sitter black holes

Fontana, Weslei B.; Baldiotti, M. C.; Fresneda, R.; Molina, C.

doi:10.1016/j.aop.2019.167954

Cited by 4 publications

(1 citation statement)

References 63 publications

(131 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar effects could be expected in colliders and near active astrophysical objects, within models involving extra dimensions (see for example [21] and references therein). Proposals linking anti-de Sitter geometries and conformal field theories (AdS/CFT correspondences) offer a great variety of applications for d-dimensional thermodynamic results [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Weyl conjecture and thermal radiation of finite systems

Baldiotti¹,

Jaraba²,

Santos³

et al. 2023

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

In this work, corrections for the Weyl law and Weyl conjecture in d dimensions are obtained and effects related to the polarization and area term are analyzed. The derived formalism is applied on the quasithermodynamics of the electromagnetic field in a finite d-dimensional box within a semi-classical treatment. In this context, corrections to the Stefan-Boltzmann law are obtained. Special attention is given to the two-dimensional scenario, since it can be used in the characterization of experimental setups. Another application concerns acoustic perturbations in a quasithermodynamic generalization of Debye model for a finite solid in d dimensions. Extensions and corrections for known results and usual formulas, such as the Debye frequency and Dulong-Petit law, are calculated.

show abstract

Section: Introductionmentioning

confidence: 99%

Weyl conjecture and thermal radiation of finite systems

Baldiotti¹,

Jaraba²,

Santos³

et al. 2023

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

Spherically symmetric de Sitter solution of black holes

et al. 2020

View full text Add to dashboard Cite

In this study we obtain the solution of the spherically symmetric de Sitter solution of black holes using a general form of distribution functions which include Gaussian, Rayleigh, and Maxwell-Boltzmann distribution as a special case. We investigate the properties of thermodynamics variables such as the Hawking temperature, the entropy, the mass and the heat capacity of black holes. Moreover, we show that the strong energy condition which includes the null energy condition is satisfied. Finally, we show the regularity of the solution by calculating the scalar curvature and invariant curvature in general distribution form.

show abstract