Nontrivial static, spherically symmetric vacuum solution in a nonconservative theory of gravity

Abstract

We analyze the vacuum static spherically symmetric spacetime for a specific class of nonconservative theories of gravity based on 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 role of source. We further discuss the structure (in particular, the coupling to matter fields) and some cosmological aspects of the underline nonconservative theory.