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Thermodynamics of black plane solution |
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| Authors: | Manuel E Rodrigues Deborah F Jardim Stéphane J M Houndjo Ratbay Myrzakulov |
| Institution: | 1. Departamento de Física, Centro de Ciências Exatas, Universidade Federal do Espírito Santo, Av. Fernando Ferrari s/n, Campus de Goiabeiras, Vitória, ES, CEP 29075-910, Brazil 2. Faculdade de Física, Universidade Federal do Pará, Belém, PA, 66075-110, Brazil 3. Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará, Campus Universitário de Abaetetuba, Rua Manoel de Abreu s/n, Mutir?o, Abaetetuba, PA, CEP 68440-000, Brazil 4. Universidade Federal dos Vales do Jequitinhonha e Mucuri, ICTM, Rua do Cruzeiro, 01, Jardim S?o Paulo, Teofilo Otoni, MG, CEP 39803-371, Brazil 5. Departamento de Engenharia e Ciências Exatas, CEUNES, Universidade Federal do Espírito Santo, S?o Mateus, ES, CEP 29933-415, Brazil 6. Institut de Mathématiques et de Sciences Physiques (IMSP), 01?BP?613?, Porto-Novo, Bénin 7. Eurasian International Center for Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan |
| Abstract: | We obtain a new phantom black plane solution in $4$ 4 D of the Einstein–Maxwell theory coupled with a cosmological constant. We analyse their basic properties, as well as its causal structure, and obtain the extensive and intensive thermodynamic variables, as well as the specific heat and the first law. Through the specific heat and the so-called geometric methods, we analyse in detail their thermodynamic properties, the extreme and phase transition limits, as well as the local and global stabilities of the system. The normal case is shown with an extreme limit and the phantom one with a phase transition only for null mass, which is physically inaccessible. The systems present local and global stabilities for certain values of the entropy density with respect to the electric charge, for the canonical and grand canonical ensembles. |
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