Palatini kinetic scalar-tensor theory: analytical and numerical solutions

Abstract

We investigate static spherically symmetric solutions in the Palatini kinetically coupled scalar-tensor theory, which reduces to gravity minimally coupled to a scalar field in Einstein frame. Using the fact that the Jordan and Einstein frame are related by a reversible disformal transformation, which can be solved in closed form, we derive the general solution in the Jordan frame and show that it does not contain black holes. There is a wormhole branch and a naked singularity branch between which lies a non-singular asymptotically flat solution with kernel $M_{1,1}\times S^2$. This theory strongly violates the null energy condition.

arXiv comment13 pages, 8 figures, accepted to Proceedings of the 16th Marcel Grossmann meeting held on July 5-10, 2021 in virtual format, will be published by World Scientific

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