Compatibility of Einstein minimally coupled self interacting scalar field theory with the solar system tests of gravity

TL;DR

This paper investigates whether Einstein's minimally coupled self-interacting scalar field theory aligns with solar system gravity tests, concluding that only trivial solutions are compatible, thus limiting its viability.

Contribution

It demonstrates that, aside from trivial solutions, the scalar field theory does not produce static solutions consistent with solar system observations.

Findings

Only trivial Schwarzschild-de Sitter solutions are compatible with solar system tests.

Non-trivial static solutions are not admitted by the theory.

The theory's compatibility is limited to specific trivial cases.

Abstract

We examine the compatibility of the Einstein minimally coupled self-interacting scalar field theory with the local tests of gravity. We find that apart from the trivial case of the Schwarzschild-de Sitter solution with constant scalar field the theory does not admit any other static solution, which is consistent with the solar system tests of gravity.