Physical charges versus conformal invariance in unimodular gravity

TL;DR

This paper explores how unimodular gravity's formulation with an induced Weyl symmetry affects conserved currents, illustrated through the Painlevé-Gullstrand extension of Schwarzschild spacetime.

Contribution

It analyzes the physical implications of Weyl symmetry in unimodular gravity and demonstrates these effects in a specific spacetime extension.

Findings

Weyl symmetry influences conserved currents in unimodular gravity.

The Painlevé-Gullstrand extension exemplifies these effects.

Unimodular gravity's formulation impacts physical interpretations.

Abstract

Unimodularity can be implemented in different ways. In this paper we consider only the formulation of Unimodular Gravity in which the unimodular metric is obtained out of an unrestricted one as $\g_{\m\n}=|g|^{-{1\over n}} g_{\m\n}$. This procedure induces an extra Weyl symmetry. Some physical implications of this symmetry on the conserved currents are discussed. Finally the results are illustrated for the Painlev\'e-Gullstrand extension of Schwarzschild spacetime.