The Lorentz-violating real scalar field at thermal equilibrium

Aguirre, A. R.; Flores-Hidalgo, G.; Rana, R.G.; Souza, Emanuel

doi:10.1140/epjc/s10052-021-09250-1

Cited by 10 publications

(3 citation statements)

References 76 publications

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“…Other studies of thermodynamics in the presence of SME-type Lorentz violation include Refs. [6][7][8][9]. We also mention recent studies on the effects of Lorentz violation in the context of black-hole thermodynamics [10][11][12][13][14] and of Bose-Einstein condensation [6,15,16].…”

Section: Introductionmentioning

confidence: 93%

The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories

Potting

2023

Eur. Phys. J. Plus

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In this work, we adapt the foundations of relativistic kinetic theory and the Boltzmann equation to particles with Lorentz-violating dispersion relations. The latter are taken to be those associated to two commonly considered sets of coefficients in the minimal Standard-Model Extension. We treat both the cases of classical (Maxwell–Boltzmann) and quantum (Fermi–Dirac and Bose–Einstein) statistics. It is shown that with the appropriate definition of the entropy current, Boltzmann’s H-theorem continues to hold. We derive the equilibrium solutions and then identify the Lorentz-violating effects for various thermodynamic variables, as well as for Bose–Einstein condensation. Finally, a scenario with nonelastic collisions between multiple species of particles corresponding to chemical or nuclear reactions is considered.

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Section: Introductionmentioning

confidence: 93%

The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories

Potting

2023

Eur. Phys. J. Plus

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“…This remarks are only possible due to existence of exotic matter. Furthermore, it is worth highlighting that the thermodynamic aspects have been extensively studied in various contexts, including cosmological scenarios [40,[136][137][138][139][140][141][142][143][144][145][146][147][148][149] and other related areas [150][151][152][153][154][155]. Finally, in order to provide a general overview of our results, we compare them with the Schwarzschild case in table 3.…”

Section: Schwarzschildmentioning

confidence: 99%

Analysis of a regular black hole in Verlinde’s gravity

Araújo Filho

2023

Class. Quantum Grav.

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This work focuses on the examination of a regular black hole within Verlinde’s emergent gravity, specifically investigating the Hayward-like (modified) solution. The study reveals the existence of three horizons under certain conditions, i.e. an event horizon and two Cauchy horizons. Our results indicate regions which phase transitions occur based on the analysis of heat capacity and Hawking temperature. To compute the latter quantity, we utilize three distinct methods: the surface gravity approach, Hawking radiation, and the application of the first law of thermodynamics. In the case of the latter approach, it is imperative to introduce a correction to ensure the preservation of the Bekenstein–Hawking area law. Geodesic trajectories and critical orbits (photon spheres) are calculated, highlighting the presence of three light rings. Additionally, we investigate the black hole shadows. Furthermore, the quasinormal modes are explored using third- and sixth-order Wentzel–Kramers–Brillouin approximations. In particular, we observe stable and unstable oscillations for certain frequencies. Finally, in order to comprehend the phenomena of time-dependent scattering in this scenario, we provide an investigation of the time-domain solution.

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“…Based exclusively on the modified dispersion relations (MDRs), the investigation of many facets of a given theory may be undertaken [31], including its thermal behavior. In the literature, there exists a variety of recent works involving the thermodynamic properties in many different contexts, namely, Lorentz violation [32][33][34][35][36][37][38][39][40][41][42], bouncing Universe [43], loop quantum gravity [44], Einstein-aether theory [45], graviton [46], five-dimensional Chern-Simons theory [47] and others [48][49][50][51]. Nevertheless, from a MDR, there does not exist up to now a thermal study of massive particles in the Ellis wormhole scenario.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamical properties of an ideal gas in a traversable wormhole

Araújo Filho,

Furtado,

Reis

et al. 2023

Class. Quantum Grav.

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In this work, we analyze the thermodynamic properties of non--interacting particles under influence of the gravitational field of a traversable wormhole. In particular, we investigate how the thermodynamic quantities are affected by the Ellis wormhole geometry, considering three different regions to our study: asymptotically far, close to the throat, and at the throat. The thermodynamic quantities turn out to depend strongly on parameter that controls the wormhole throat radius. By varying it, there exist an expressive modification in the thermodynamic state quantities, exhibiting both usual matter and dark energy--like behaviors. Finally, the interactions are regarded to the energy density and it seem to indicate that it ``cures" the dark energy--like features.

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The Lorentz-violating real scalar field at thermal equilibrium

Cited by 10 publications

References 76 publications

The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories

The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories

Analysis of a regular black hole in Verlinde’s gravity

Thermodynamical properties of an ideal gas in a traversable wormhole

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