Geometric and topological corrections to Schwarzschild black hole

D’Agostino R. Luongo O. Mancini S.
October 2024 Springer Nature

European Physical Journal C
2024 #84 Issue 10

In this paper, we compute departures in the black hole thermodynamics induced by either geometric or topological corrections to general relativity. Specifically, we analyze the spherically symmetric spacetime solutions of two modified gravity scenarios with Lagrangians L∼R^1+ϵ and L∼R+ϵG², where G is the Euler density in four dimensions, while 0<ϵ≪1 measures the perturbation around the Hilbert–Einstein action. Accordingly, we find the expressions of the Bekenstein–Hawking entropy by the Penrose formula, and the black hole temperature and horizon of the obtained solutions. We then investigate the heat capacities in terms of the free parameters of the theories under study. In doing so, we show that healing the problem of negative heat capacities can be possible under particular choices of the free constants, albeit with limitations on the masses allowed for the black hole solutions.

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INAF-Osservatorio Astronomico di Roma, Via Frascati 33, Monte Porzio Catone, 00040, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cinthia 21, Naples, 80126, Italy
Scuola Superiore Meridionale, Largo San Marcellino 10, Naples, 80138, Italy
University of Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Department of Mathematics and Physics, SUNY Polytechnic Institute, Utica, 13502, NY, United States
INAF-Osservatorio Astronomico di Brera, Milan, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia, Perugia, 06123, Italy
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan

INAF-Osservatorio Astronomico di Roma
Istituto Nazionale di Fisica Nucleare (INFN)
Scuola Superiore Meridionale
University of Camerino
Department of Mathematics and Physics
INAF-Osservatorio Astronomico di Brera
Istituto Nazionale di Fisica Nucleare (INFN)
Al-Farabi Kazakh National University

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