Kiselev black holes in \(f(R,T)\) gravity

We obtain new exact solutions for the gravitational field equations in the context of \(f(R,T)\) gravity, thereby obtaining different classes of black holes surrounded by fluids, taking into account some specific values of the parameter of the equations of state, \(w\). In order to obtain these solu...

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Bibliographic Details
Published in:arXiv.org 2023-01
Main Authors: Santos, L C N, da Silva, F M, Mota, C E, Lobo, I P, Bezerra, V B
Format: Article
Language:English
Subjects:
Context
Equations of state
Exact solutions
Gravitational fields
Mathematical analysis
Parameters
Tensors
Online Access:Get full text
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Summary:We obtain new exact solutions for the gravitational field equations in the context of \(f(R,T)\) gravity, thereby obtaining different classes of black holes surrounded by fluids, taking into account some specific values of the parameter of the equations of state, \(w\). In order to obtain these solutions in the context of \(f(R,T)\) gravity, we consider viable particular choices of the \(f(R,T)\). Considering an anisotropic energy-momentum tensor, we write the field equations with the required symmetries for this type of solution. Then, we analyze the conditions of energy in a general way and also for particular values of the parameter \(w\) of the equation of state. In addition, thermodynamic quantities, such as Hawking temperature and mass associated to the horizons of solutions, are taken into account in our analysis.
ISSN:2331-8422