On energy for accelerating observers in black hole spacetimes

TL;DR

This paper derives quasi-local energies for accelerating observers in various black hole spacetimes, linking them to measurable quantities and exploring related thermodynamic properties.

Contribution

It provides new expressions for energy in accelerating frames within BTZ, Schwarzschild, and Schwarzschild-de Sitter spacetimes, incorporating acceleration and cosmological constant.

Findings

Energy expressions depend on acceleration, area, and cosmological constant.

Connections to Hawking temperature and entropy are discussed.

Thermodynamic-like laws are briefly explored.

Abstract

Quasi-local energies for constantly accelerating observers in Ba\~nados, Teitelboim, and Zanelli (BTZ), Schwarzschild and Schwarzschild-de Sitter spacetimes are derived. The energies are expressed in terms of acceleration, cosmological constant, and area, quantities measurable by the observers. Based on results from quantum fields in curved spacetime for the redshifted Hawking temperature, entropy and thermodynamic-like laws are briefly explored in the three spacetimes.