Static and spherically symmetric solutions in a scenario with quadratic curvature contribution

Journal Article · Wed Aug 15 00:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.04.013· OSTI ID:22848345

Silveira, Fernanda A., E-mail: [e-mail] ^[1]; UERJ — Universidade Estadual do Rio de Janeiro, Departamento de Física Teórica, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, RJ ^[2]; Sobreiro, Rodrigo F., E-mail: [e-mail] ^[1]; Tomaz, Anderson A., E-mail: [e-mail] ^[1]; CBPF — Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud, 150, Urca, 22290-180, Rio de Janeiro, RJ ^[2]

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1. UFF — Universidade Federal Fluminense, Instituto de Física, Campus da Praia Vermelha, Avenida General Milton Tavares de Souza s/n, 24210-346, Niterói, RJ (Brazil)
2. (Brazil)

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein–Cartan formalism. The main goal consists in analysing the behaviour of the solutions under the influence of a quadratic curvature term in the presence of cosmological constant and no torsion. In the first incursion we found an exact de Sitter-like solution. This solution is obtained by imposing vanishing torsion in the field equations. On the other hand, by imposing vanishing torsion directly in the action, we are able to find a perturbative solution around the Schwarzschild–de Sitter usual solution. We briefly discuss classical singularities for each solution and the event and cosmological horizons. A primer discussion on the thermodynamics of the geometrical solutions is also addressed.

• OSTI ID: 22848345
• Journal Information: Annals of Physics, Vol. 395; Other Information: © 2018 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL CONSTANT
DE SITTER SPACE
FIELD EQUATIONS
GRAVITATION
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
SINGULARITY
THERMODYNAMICS
TORSION