Geometric and topological corrections to Schwarzschild black hole

被引：3

作者：

D'Agostino, Rocco ^{[1
,2
,3
]}

Luongo, Orlando ^{[4
,5
,6
,7
,8
]}

Mancini, Stefano ^{[4
,7
]}

机构：

[1] INAF Osservatorio Astron Roma, Via Frascati 33, I-00040 Monte Porzio Catone, Italy

[2] Ist Nazl Fis Nucl INFN, Sez Napoli, Via Cinthia 21, I-80126 Naples, Italy

[3] Scuola Super Meridionale, Largo San Marcellino 10, I-80138 Naples, Italy

[4] Univ Camerino, Via Madonna Carceri, I-62032 Camerino, Italy

[5] SUNY Polytech Inst, Dept Math & Phys, Utica, NY 13502 USA

[6] INAF Osservatorio Astron Brera, Milan, Italy

[7] Ist Nazl Fis Nucl INFN, Sez Perugia, I-06123 Perugia, Italy

[8] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan

来源：

EUROPEAN PHYSICAL JOURNAL C | 2024年 / 84卷 / 10期

关键词：

COSMOLOGICAL CONSTANT; MODIFIED GRAVITY;

D O I：

10.1140/epjc/s10052-024-13440-y

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 similar to R1+& varepsilon; and L similar to R + & varepsilon; G(2), where G is the Euler density in four dimensions, while 0 < & varepsilon; << 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.

引用

页数：10

共 71 条

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