New symmetry in higher curvature spacetimes

TL;DR

This paper demonstrates the extension of newly discovered symmetries from Einstein-Maxwell and imperfect fluid spacetimes to higher curvature theories, supporting their relevance to dark energy models.

Contribution

It introduces a novel symmetry in higher curvature spacetimes, expanding the understanding of symmetries in gravitational theories beyond Einstein's framework.

Findings

Symmetries found in Einstein-Maxwell spacetimes are extended to higher curvature theories.

The existence of this symmetry supports the physical relevance of higher curvature formulations.

Provides theoretical justification linking higher curvature theories to dark energy phenomena.

Abstract

New symmetries have been found in Einstein-Maxwell spacetimes. New symmetries have also been found in imperfect fluid curved spacetimes. We will prove in this paper that we can extend these symmetries to spacetimes with higher curvature terms. Higher curvature theories are in many cases associated to dark energy for instance. We provide further justification for these higher curvature formulations through the existence of a new symmetry.