Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes

Lobo, Iarley P.; Bezerra, V. B.; Graça, J. P. Morais; Santos, L. C. N.; Ronco, Michele

doi:10.1103/physrevd.101.084004

Cited by 15 publications

(7 citation statements)

References 89 publications

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“…5, 6, and 7 respectively. Moreover, the thermal quantities were also calculated [38][39][40][41][42][43] into different contexts. In the context of CMB, all of them turned out to have no contribution to our calculations.…”

Section: Thermodynamical Aspects Of Cpt-even Higher-derivative LV Theorymentioning

confidence: 99%

Higher-derivative Lorentz-breaking dispersion relations: a thermal description

Filho

Petrov

2021

Eur. Phys. J. C

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This paper is devoted to study the thermal aspects of a photon gas within the context of Planck-scale-modified dispersion relations. We study the spectrum of radiation and the correction to the Stefan–Boltzmann law in different cases when the Lorentz symmetry is no longer preserved. Explicitly, we examine two models within the context of CPT-even and CPT-odd sectors respectively. To do so, three distinct scenarios of the Universe are considered: the Cosmic Microwave Background (CMB), the electroweak epoch, and the inflationary era. Moreover, the equations of state in these cases turn out to display a dependence on Lorentz-breaking parameters. Finally, we also provide for both theories the analyses of the Helmholtz free energy, the mean energy, the entropy and the heat capacity.

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Section: Thermodynamical Aspects Of Cpt-even Higher-derivative LV Theorymentioning

confidence: 99%

Higher-derivative Lorentz-breaking dispersion relations: a thermal description

Filho

Petrov

2021

Eur. Phys. J. C

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“…Unfortunately, it is difficult to solve and obtain the low energy limit applying this dispersion relation in Eq. ( 7) and (8). The best way to do this is by separating the energy density in a contribution of undeformed special relativity ε sr and correction terms ε msr .…”

Section: Second Casementioning

confidence: 99%

“…In addition, the thermodynamics of such a compact object produced by these modifications can induce an uncertainty in the geometrical location of the horizon. [8]. Besides that, effects of uncertainties in the location of the horizon of a black hole due to Planck scale Generalized Uncertainty Principles can be interpreted, in fact, as due to a horizonless compact object, whose phenomenological possibilities have been recently investigated in [9].…”

Section: Introductionmentioning

confidence: 99%

Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics

Santos,

Mota,

da Silva

et al. 2021

Preprint

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Deformed dispersion relations are considered in the study of equations of state of Fermi gas with applications to compact objects. Different choices of deformed energy relations are used in the formulation of our model. As a first test, we consider a relativistic star with a simple internal structure. The mass-radius diagrams obtained suggest a positive influence of deformed Fermi gas, depending of the functions employed. In addition, we comment on how realistic equations of state, in which interactions between nucleons are taken into account, can be addressed.

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“…Most prominent models which introduce an additional observer independent scale to the speed of light are doubly or deformed special relativity (DSR) [4][5][6], more generally deformed relativistic kinematics [7][8][9][10] and non-commutative spacetime geometries [11][12][13][14]. Furthermore, MDRs describe the propagation of particles and fields on quantum spacetimes constructed in string theory [15,16] or Loop quantum gravity [17][18][19][20]. Moreover, MDRs describe the point particle limit of the Standard-Model Extension (SME) [21], which studies the consequences of adding non local Lorentz invariant terms to the standard model of particle physics, and the point particle limit of effective field theories which describe the propagation of fields through media [22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Observables from spherically symmetric modified dispersion relations

Läänemets,

Hohmann,

Pfeifer

2022

Preprint

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In this work we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first order modification of the general relativistic dispersion relation as well as subject to the κ-Poincaré dispersion relation in spherical symmetry. We derive the corrections to the photon sphere, the Shapiro delay and the light deflection and identify the additional dependence of these observables on the photons' four momentum, which leads to measurable effects that can be compared to experimental data. The results presented here can be interpreted in two ways, depending on the origin of the modified dispersion relation: on the one hand as prediction for traces of quantum gravity, when the modified dispersion relation is induced by phenomenological approaches to quantum gravity, on the other hand as predictions of observables due to the presence of a medium, like a plasma, which modifies the dispersion relation of light on curved spacetimes.

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Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes

Cited by 15 publications

References 89 publications

Higher-derivative Lorentz-breaking dispersion relations: a thermal description

Higher-derivative Lorentz-breaking dispersion relations: a thermal description

Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics

Observables from spherically symmetric modified dispersion relations

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