Spherically Symmetric Considerations for a Higher Order Theory of Gravitation

TL;DR

This paper explores a higher order gravitational theory derived from polynomial modifications of Einstein's equations, focusing on spherically symmetric metrics to understand potential deviations from General Relativity.

Contribution

It introduces a novel higher order gravity model based on polynomial scalar curvature and analyzes spherically symmetric solutions within this framework.

Findings

Derived modified field equations for polynomial R theories

Analyzed spherically symmetric solutions in the new theory

Identified potential differences from Einstein's predictions

Abstract

A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical symmetric metric.