On energy for accelerating observers in black hole spacetimes

Abstract

Quasi-local energies for constantly accelerating observers in Bañados, 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.

Comments welcome. v2: description of the approach and derivation clarified. v3: updated referencing, typos corrected, close to published version

References in corpus (5)

• Static, stationary and inertial Unruh-DeWitt detectors on the BTZ black hole
• Unruh-DeWitt detector response along static and circular geodesic trajectories for Schwarzschild-AdS black holes
• Near-Horizon BMS Symmetry, Dimensional Reduction, and Black Hole Entropy
• Global embeddings of BTZ and Schwarzschild-AdS type black holes in a flat space
• Brown-York Energy in Spacetimes with Horizon