Exact solution and Classical tests of New General Relativity

TL;DR

This paper derives an exact static spherically symmetric vacuum solution in New General Relativity and uses classical tests to constrain its parameters more tightly than previous studies.

Contribution

It provides a new exact solution in NGR and refines parameter constraints using classical relativistic tests.

Findings

Derived an exact vacuum solution with two parameters in NGR.

Used classical tests to set tighter bounds on the second parameter.

Compared results with the Schwarzschild solution in GR.

Abstract

In this work, we present an exact static spherically symmetric vacuum solution of the New General Relativity (NGR) field equations. Unlike the Schwarzschild solution in General Relativity (GR), this solution is characterized by two parameters. Subsequently, using the four classical tests of relativistic gravity (perihelion precession, light bending, Shapiro time delay and gravitational redshift), a more stringent constraint on the value of the second parameter was derived compared to the original work [1].