TY - JOUR
T1 - Regularization ambiguity and van der Waals black hole in 2 + 1 dimensions
AU - Gaete, Patricio
AU - Nicolini, Piero
AU - Spallucci, Euro
N1 - Funding Information:
One of us (P. G.) was partially supported by Fondecyt (Chile) Grant 1180178 and by ANID PIA/APOYO AFB180002. P.G. also wishes to thank the Abdus Salam ICTP for hospitality. The work of P.N. has been partially supported by the Grant NI 1282/3-1 of the project “Evaporation of microscopic black holes” of the German Research Foundation (DFG), by the Helmholtz International Center for FAIR within the framework of the LOEWE program (Landesoffensive zur Entwicklung Wissenschaftlich-Ökonomischer Exzellenz) launched by the State of Hesse and by GNFM, the Italian National Group for Mathematical Physics. The authors thank A. G. Tzikas for valuable comments on the manuscript.
Funding Information:
One of us (P. G.) was partially supported by Fondecyt (Chile) Grant 1180178 and by ANID PIA/APOYO AFB180002. P.G. also wishes to thank the Abdus Salam ICTP for hospitality. The work of P.N. has been partially supported by the Grant NI 1282/3-1 of the project “Evaporation of microscopic black holes” of the German Research Foundation (DFG), by the Helmholtz International Center for FAIR within the framework of the LOEWE program (Landesoffensive zur Entwicklung Wissenschaftlich-Ökonomischer Exzellenz) launched by the State of Hesse and by GNFM, the Italian National Group for Mathematical Physics. The authors thank A. G. Tzikas for valuable comments on the manuscript.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/6
Y1 - 2021/6
N2 - Charged black holes in a (2 + 1)-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such issues. By extending the parameter space of the BTZ geometry, we properly identify the integration constants in order to remove the conical singularity sitting at the origin. In such a way we obtain a well defined Minkowski limit and horizons also in the case of de Sitter background space. On the thermodynamic side, we obtain a proper internal energy, by invoking the consistency with the Area Law, even if the mass parameter does not appear in the metric coefficients. As a further improvement, we show that it is sufficient to assume a finite size of the electric charge to obtain a short scale regular geometry. The resulting solution, generalizing the charged BTZ metric, is dual to a van der Waals gas.
AB - Charged black holes in a (2 + 1)-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such issues. By extending the parameter space of the BTZ geometry, we properly identify the integration constants in order to remove the conical singularity sitting at the origin. In such a way we obtain a well defined Minkowski limit and horizons also in the case of de Sitter background space. On the thermodynamic side, we obtain a proper internal energy, by invoking the consistency with the Area Law, even if the mass parameter does not appear in the metric coefficients. As a further improvement, we show that it is sufficient to assume a finite size of the electric charge to obtain a short scale regular geometry. The resulting solution, generalizing the charged BTZ metric, is dual to a van der Waals gas.
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U2 - 10.1140/epjc/s10052-021-09301-7
DO - 10.1140/epjc/s10052-021-09301-7
M3 - Article
AN - SCOPUS:85108197597
SN - 1434-6044
VL - 81
JO - European Physical Journal C
JF - European Physical Journal C
IS - 6
M1 - 526
ER -