Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling

Abstract

We study the variation of the massive black hole in both normal and extended thermodynamic phase spaces via two methods. The first method includes a charged particle absorbed by the black hole, while the second method includes a shell of dust falling into the black hole. Using the former method, the first and second laws of thermodynamics are always satisfied in the normal phase space, while in the extended phase space, the first law of thermodynamics is also satisfied, but the validity of the second law of thermodynamics depends on the model parameters. Applying the latter method, the first and second laws of thermodynamics are both valid. We argue that the possible reason for the violation of the second law of thermodynamics via the former method may be attributed to the assumption that the change of internal energy of the black hole is equal to the energy of the particle. Finally, we show that the event horizon always exists to guarantee the validity of the weak cosmic censorship in both phase spaces, which means that the violation of the second law of thermodynamics under the assumption does not affect the weak cosmic censorship conjecture. This further supports our argument that the assumption in the first method may be the reason for the violation of the law and it requires deeper treatment.

On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures

“…While the correspondence between surface effects in black hole physics and in ordinary objects has been widely investigated, the idea of irreducible mass and its connection to the processes of particle absorption seems to have been exploited very little, specifically beyond the aforementioned astrophysical applications [100][101][102]. However, laboratory experiments dealing with analogue black holes may constitute useful environments for detecting a sort of Hawking radiation [103], and the loss of information in black hole evaporation [104], while there are no available techniques for observing these astrophysical phenomena in real world.…”

Thermodynamics in rotating anti-de Sitter black holes with massive scalar field in three dimensions *

“…Thereafter, the WCCC has been actively studied for various black holes and test channels. Based on particle addition, the WCCC has also been investigated considering several effects, such as self-force and back-reaction effects [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Furthermore, the WCCC can be examined based on the scattering of an external field because the back-reacted black hole alters its states depending on the modes of the external field [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions

“…Thereafter, the WCCC has been actively studied for various black holes and tested channels. Based on adding a particle, the WCCC is also investigated considering several effects such as self-force and the back-reaction effects [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Furthermore, the WCCC can be studied based on the scattering of an external field, because the back-reacted black hole alters its states depending on the modes of the external field [31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”