A Conserved Bach Current
E.N. Glass (Department of Physics, University of Michigan, Ann Arbor,, Michgan)
TL;DR
This paper introduces a conserved four-current derived from the Bach tensor and conformal symmetries, providing a quasilocal expression for power in collapsing spacetimes, linked to entropy generation.
Contribution
It presents a novel conserved current based on the Bach tensor, connecting conformal symmetries to energy flux and entropy in gravitational collapse.
Findings
Defines a conserved Bach four-current in gravitational settings.
Provides a quasilocal expression for power related to luminosity distance.
Links the current to entropy generation during collapse.
Abstract
The Bach tensor and a vector which generates conformal symmetries allow a conserved four-current to be defined. The Bach four-current gives rise to a quasilocal two-surface expression for power per luminosity distance in the Vaidya exterior of collapsing fluid interiors. This is interpreted in terms of entropy generation.
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