New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries

TL;DR

This paper introduces a method using Noether symmetries to find spherically symmetric solutions in f(R)-gravity, enabling the derivation of conserved quantities without predefining the function form.

Contribution

It presents a novel approach to identify conserved quantities in f(R)-gravity through Noether symmetries, avoiding assumptions on the function's form.

Findings

Identifies conserved currents in spherically symmetric f(R)-gravity models.

Provides a general method to derive solutions without fixing f(R) beforehand.

Discusses relevant cases illustrating the method's applicability.

Abstract

Spherical symmetry for f(R)-gravity is discussed by searching for Noether symmetries. The method consists in selecting conserved quantities in form of currents that reduce dynamics of f(R)-models compatible with symmetries. In this way we get a general method to obtain constants of motion without setting a priori the form of f(R). In this sense, the Noether symmetry results a physical criterium. Relevant cases are discussed.