Anisotropic generalized polytropic spheres: Regular 3D black holes
Sajadi S.N. Khodadi M. Luongo O. Quevedo H.
July 2024Elsevier B.V.
Physics of the Dark Universe
2024#45
We model gravitating relativistic 3D spheres composed of an anisotropic fluid in which the radial and transverse components of the pressure correspond to the vacuum energy and a generalized polytropic equation-of-state, respectively. By using the generalized Tolman–Oppenheimer–Volkoff (TOV) equation, and solving the complete system of equations for these anisotropic generalized polytropic spheres, for a given range of model parameters, we find three novel classes of asymptotically AdS black hole solutions with regular core. We show the regularity of the solutions using curvature scalars and the formalism of geodesic completeness. Then, using the eigenvalues of the Riemann curvature tensor, we consider the effects of repulsive gravity in the three static 3D regular black holes, concluding that their regular behavior can be explained as due to the presence of repulsive gravity near the center of the objects. Finally, we study the stability of the regular black holes under the flow of the energy through the Cauchy horizon.
3-dimensional spacetime , Anisotropic fluid , BTZ and regular black holes , Generalized polytropic equation of state , Repulsive gravity
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School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Department of Physics, K.N. Toosi University of Technology, P.O. Box 15875-4416, Tehran, Iran
Università di Camerino, Via Madonna delle Carceri 9, Camerino, 62032, Italy
SUNY Polytechnic Institute, Utica, 13502, NY, United States
INAF - Osservatorio Astronomico di Brera, Milano, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Perugia, 06123, Italy
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico
Dipartimento di Fisica and Icra, Università di Roma “La Sapienza”, Roma, Italy
School of Physics
Department of Physics
Università di Camerino
SUNY Polytechnic Institute
INAF - Osservatorio Astronomico di Brera
Istituto Nazionale di Fisica Nucleare
Al-Farabi Kazakh National University
Instituto de Ciencias Nucleares
Dipartimento di Fisica and Icra
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