Plausible black hole solutions in higher-derivative gravity

Seyed Hamid Reza Fazlollahi

doi:10.1016/j.crhy.2018.09.009

Plausible black hole solutions in higher-derivative gravity

Seyed Hamid Reza Fazlollahi ¹

¹ Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran, 19839, Iran

Comptes Rendus. Physique, Volume 19 (2018) no. 5, pp. 337-340.

Abstract
Résumé

Here we obtain explicit black hole solutions in Extension Gravity models with high-order derivative terms, while the Lichnerowicz-type theorem simplifies our analysis by vanishing Ricci's scalar curvature. We find out two explicit static, spherical solutions that satisfy the presented action: the first one is the same usual Schwarzschild solution and the other one is the new non-Schwarzschild solution. It means that Schwarzschild's solution following the no-hair theorem can describe any black hole object on each gravity theory. Without considering the first law of thermodynamics for it, we show that the non-Schwarzschild solution is depending on its set of constants, and then we consider its entropy and other thermodynamic parameters for specific values of the constants.

Dans le cadre de modèles de gravité étendue comportant des dérivées d'ordre supérieur, nous obtenons des solutions explicites représentant des trous noirs. Nous trouvons deux solutions sphériques statiques qui vérifient les équations : la première est la solution de Schwarzschild bien connue, alors que l'autre est une solution nouvelle non schwarzschildienne. Ainsi, la solution de Schwarzschild, qui résulte du théorème « sans cheveux », peut décrire un trou noir dans l'une ou l'autre des théories de la gravité. Sans partir de la première loi de la thermodynamique, nous montrons que la solution non schwarzschildienne dépend de certaines constantes, et nous évaluons son entropie et les autres grandeurs thermodynamiques pour des valeurs spécifiques des constantes.

Published online: 2018-07-01

DOI: 10.1016/j.crhy.2018.09.009

Keywords: Lichnerowicz-type theorem, Ricci scalar, No-hair theorem, Non-Schwarzschild solution
Mot clés : Thèorème de type Lichnerowicz, Scalaire de Ricci, Théorème « sans cheveux », Solution non schwarzschildienne

Author's affiliations:

Seyed Hamid Reza Fazlollahi ¹

¹ Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran, 19839, Iran

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     author = {Seyed Hamid Reza Fazlollahi},
     title = {Plausible black hole solutions in higher-derivative gravity},
     journal = {Comptes Rendus. Physique},
     pages = {337--340},
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     number = {5},
     year = {2018},
     doi = {10.1016/j.crhy.2018.09.009},
     language = {en},
}

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Seyed Hamid Reza Fazlollahi. Plausible black hole solutions in higher-derivative gravity. Comptes Rendus. Physique, Volume 19 (2018) no. 5, pp. 337-340. doi : 10.1016/j.crhy.2018.09.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2018.09.009/

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