The Brans-Dicke-Rastall theory

Abstract

We formulate a theory combining the principles of a scalar-tensor gravity and Rastall's proposal of a violation of the usual conservation laws. We obtain a scalar-tensor theory with two parameters $\omega$ and $\lambda$, the latter quantifying the violation of the usual conservation laws. The only exact spherically symmetric solution is that of Robinson-Bertotti besides Schwarzschild solution. A PPN analysis reveals that General Relativity results are reproduced when $\lambda =0$. The cosmological case displays a possibility of deceleration/acceleration or acceleration/deceleration transitions during the matter dominated phase depending on the values of the free parameters.

17 pages, 3 figures

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• Thermodynamic analysis of the static spherically symmetric field equations in Rastall theory
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• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• To conserve, or not to conserve: A review of nonconservative theories of gravity
• A connection between Rastall-type and f(R, T) gravities
• Emergent cosmic space in Rastall theory
• Neutral regular black hole solution in generalized Rastall gravity
• Quasinormal Modes of Non-Linearly Charged Black Holes surrounded by a Cloud of Strings in Rastall Gravity
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• Generalized Rastall's gravity and its effects on compact objects
• Structure Formation in Generalized Rastall Gravity
• The Einstein dark energy model
• Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity
• Rapidly rotating compact stars in Rastall's gravity
• A dynamical system representation of generalized Rastall gravity
• Cosmological implications of Rastall-$f(R)$ theory
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Non-minimal coupling inspires the Dirac cosmological model
• Slow-roll Natural & Hilltop Inflation in Rastall Gravity
• Charged analog of anisotropic dark energy star in Rastall gravity
• Matter perturbations in Einstein dark energy model