Thermodynamics of massless particles in curved spacetime

Filho, A. A. Araújo

doi:10.48550/arxiv.2201.00066

Cited by 8 publications

(8 citation statements)

References 113 publications

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“…It is evident that as X increases, the corresponding Hawking temperatures become increasingly attenuated. It is important to mention that the thermodynamic aspects were calculated for a variety contexts, including cosmological scenarios [102][103][104][105][106][107][108][109][110][111][112][113] and more [114][115][116][117].…”

Section: The General Setup and Hawking Temperaturementioning

confidence: 99%

Gravitational traces of bumblebee gravity in metric–affine formalism

Araújo Filho,

Hassanabadi,

Heidari

et al. 2024

Class. Quantum Grav.

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This work explores various manifestations of bumblebee gravity within the metric--affine formalism. We investigate the impact of the Lorentz violation parameter, denoted as $X$, on the modification of the \textit{Hawking} temperature. Our calculations reveal that as $X$ increases, the values of the \textit{Hawking} temperature attenuate. To examine the behavior of massless scalar perturbations, specifically the \textit{quasinormal} modes, we employ the WKB method. The transmission and reflection coefficients are determined through our calculations. The outcomes indicate that a stronger Lorentz--violating parameter results in slower damping oscillations of gravitational waves. To comprehend the influence of the \textit{quasinormal} spectrum on time--dependent scattering phenomena, we present a detailed analysis of scalar perturbations in the time--domain solution. Additionally, we conduct an investigation on shadows, revealing that larger values of $X$ correspond to larger shadow radii. Furthermore, we constrain the magnitude of the shadow radii using the EHT horizon--scale image of $Sgr A^*$. Finally, we calculate both the time delay and the deflection angle.

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Section: The General Setup and Hawking Temperaturementioning

confidence: 99%

Gravitational traces of bumblebee gravity in metric–affine formalism

Araújo Filho,

Hassanabadi,

Heidari

et al. 2024

Class. Quantum Grav.

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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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“…After that, recently many works have been made in various distinct scenarios, such as, graviton, [19] Pospelov and Myers-Pospelov [20,21] electrodynamics, CPT-even and CPT-odd violations, [22][23][24] higher-dimensional operators, [25] bouncing universe, [26] and Einstein-Eather theory. [27] Although traditionally many indefinite studies begin with the investigation based on the action associated with a particular theory, in the literature, there exists a prominent alternative manner of addressing physical results starting exclusively from its respective dispersion relation instead. [28] Also, in this context, there are a lack of studies examining the thermodynamic properties in the context of loop quantum gravity up to now.…”

Section: Doi: 101002/andp202200383mentioning

confidence: 99%

Particles in Loop Quantum Gravity Formalism: A Thermodynamical Description

Filho

2022

Annalen der Physik

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In this work, the thermodynamical behavior of massive and massless particles is analyzed within loop quantum gravity formalism. A modified dispersion relation is investigated which suffices to derive all the results of interest in an analytical manner. Initially, the massive case is studied where, in essence, it is examined how the mass modifies the thermodynamical properties of the system. On the other hand, to the massless case, the thermodynamical system turns out to depend only on a specific thermal state quantity, the temperature. More so, the analysis of the spectral radiation, the equation of states, the mean energy, the entropy, and the heat capacity are provided as well for both cases. Finally, the thermodynamical properties of the particles under consideration depends on the Riemann zeta function ξfalse(sfalse)$\xi (s)$.

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Thermodynamics of massless particles in curved spacetime

Cited by 8 publications

References 113 publications

Gravitational traces of bumblebee gravity in metric–affine formalism

Gravitational traces of bumblebee gravity in metric–affine formalism

Analysis of a regular black hole in Verlinde’s gravity

Particles in Loop Quantum Gravity Formalism: A Thermodynamical Description

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