Asymptotic flatness and Hawking quasilocal mass

Abstract

We point out an association between anomalies in the Hawking quasilocal mass (or, in spherical symmetry, in its better known version, the Misner-Sharp-Hernandez mass) and unphysical properties of the spacetime geometry. While anomalous behaviors show up in certain quantum-corrected black holes, they are not unique to this context and signal serious physical pathologies of isolated gravitating systems in general.

8 pages, no figures

References in corpus (14)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Regular black holes with a nonlinear electrodynamics source
• Notes on non-singular models of black holes
• Noncommutative geometry inspired charged black holes
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• On the Effective Metric of a Planck Star
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Unsettling physics in the quantum-corrected Schwarzschild black hole
• Quantum radiation from a sandwich black hole
• Pulsation of black holes
• Semiclassical corrections to a regularized Schwarzschild metric

Cited by in corpus (10)

• Inner horizon instability and the unstable cores of regular black holes
• From a locality-principle for new physics to image features of regular spinning black holes with disks
• Exteriors to bouncing collapse models
• Effective metric outside bootstrapped Newtonian sources
• A generalized uncertainty-inspired quantum black hole
• Kodama-like Vector Fields in Axisymmetric Spacetimes
• Tipler Naked Singularities in $N$ Dimensions
• The curious case of the Buchdahl-Land-Sultana-Wyman-Ibañez-Sanz spacetime
• Energy conditions in static, spherically symmetric spacetimes and effective geometries
• Geometry of static $w=-1/5$ perfect fluid spheres in general relativity