Non-trivial static, spherically symmetric vacuum solution in a non-conservative theory of gravity

Abstract

We analyse the vacuum static spherically symmetric space-time for a specific class of non-conservative theories of gravity based on the Rastall's theory. We obtain a new vacuum solution which has the same structure as the Schwarzschild-de Sitter solution in the General Relativity theory obtained with a cosmological constant playing the rôle of source. We further discuss the structure (in particular, the coupling to matter fields) and some cosmological aspects of the underline non-conservative theory

v2. 5 pages, 1 figure. Extended discussion on the cosmological solution. To appear in PRD

References in corpus (5)

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• Solar and stellar system tests of the cosmological constant
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• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity

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• Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory
• Perturbed thermodynamics of charged black hole solution in Rastall theory
• A connection between Rastall-type and f(R, T) gravities
• Scalar QNMs for higher dimensional black holes surrounded by quintessence in Rastall gravity
• Generalized Rastall's gravity and its effects on compact objects
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• A dynamical system representation of generalized Rastall gravity
• Nonconservative unimodular gravity: a viable cosmological scenario
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Nonconservative traceless type gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Analytical solutions of the geodesic equation in the space-time of a black hole surrounded by perfect fluid in Rastall theory
• Gravity theories with local energy-momentum exchange: a closer look at Rastall-like gravity
• Matter perturbations in Einstein dark energy model