Einstein-Aether Theory With and Without Einstein

TL;DR

This paper presents exact static spherically symmetric solutions in Einstein-aether and pure-aether theories, highlighting that only Einstein-aether theory can produce solutions consistent with Einstein's experimental tests, including 'almost-Schwarzschild' metrics.

Contribution

It provides new exact solutions for both theories, demonstrating the conditions under which they replicate Schwarzschild metrics and exhibit physically relevant properties.

Findings

Both theories can produce Schwarzschild metrics.

Only Einstein-aether theory admits 'almost-Schwarzschild' solutions compatible with experiments.

Identifies specific solutions explaining gravitation and metric properties.

Abstract

The exact static spherically symmetric solutions for pure-aether theory and Einstein-aether theory are presented. It is shown that both theories can deliver the Schwarzschild metric, but only the Einstein-aether theory contains solutions with "almost-Schwarzschild" metrics that satisfy Einstein's experiments. Two specific solutions are of special interest: one in pure-aether theory that derives the attractive nature of gravitation as a result of Minskowski signature of the metric, and one - the Jacobson solution- of Einstein-aether theory with "almost-Schwarzschild" metric and non-zero Ricci tensor.