Solar system tests in Einstein–æther gravity

Abstract

In the current paper we analyse the three classical tests of general relativity, namely, the precession of perihelion, deflection of light, and time delay in Einstein–æther gravity. Einstein–æther gravity has two static, spherically symmetric, charged black hole solutions corresponding to different constraints on its coupling constants c14 and c123. We investigate the aforementioned tests for both these solutions, graphically and analytically. We also tabulate our results and discuss the outcome, which is promising. We evaluate the results, when the coupling constants are varied over a vast range of values, both within the constraints set by the recent observational data, and also beyond, for a comparative study.