Rastall’s theory of gravity: spherically symmetric solutions and the stability problem

Бронников, К. А.; Fabris, J. C.; Piattella, Oliver F.; Rodrigues, Denis C.; Santos, Edison C.

doi:10.1007/s10714-021-02791-6

Cited by 1 publication

(1 citation statement)

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“…Recently, the investigation of black holes within the framework of Rastall gravity has garnered significant interest, leading to a diverse range of research in the literature. This research includes various phenomenological outcomes, particularly those associated with cosmological aspects [5][6][7][8][9][10][11], and the implications it holds for astrophysical scenarios [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic features of AdS black holes within the rastall gravity and perfect fluid matter framework

Laassiri,

Daassou,

Benbrik

2024

Phys. Scr.

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In this study, we analyzed the impact of a perfect fluid on the phase transition ofAnti-de Sitter (AdS) black holes within the Rastall gravitational background. Comparedto similar studies in the literature, the findings of this work are highlighted by the deter-mination of analytical expressions for critical points for charged and Kerr-Newman AdSblack holes using approximated formulas for the horizon radius. An accurate analysis ofthese new analytical expressions allowed us to discover a new viable condition that relatesωthe Rastall parameter κλ to the equation of state parameter ω, expressed as: κλ = 1+ω.Thanks to this new condition, we were able to reproduce all the analytical expressionsof critical points calculated within the framework of Einstein’s general relativity for twocases: a charged AdS black hole and a rotating AdS black hole. These findings suggestthat Rastall gravity, considering this new condition, could serve as an alternative theoryof gravitation to general relativity. The approximate expression of the horizon radius alsoenabled the exploration of the distinctiveness of fractional-order phase transitions in theseAdS black holes. Furthermore, we calculated the critical exponents, offering insights intothe behavior of crucial thermodynamic quantities near the inflection point. Examininghow a perfect fluid influences phase transition reveals various critical behaviors, demon-strating that the variation in the phase transition depends on the intensity of the perfectfluid. Notably, this variation is portrayed by a linearly increasing trajectory with theescalation of this intensity.

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