Quasi-asymptotically flat spacetimes and their ADM mass

1996/11/14 by Ulises Nucamendi, Daniel Sudarsky · 51 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #gr-qc

paper · pdf · doi:10.1088/0264-9381/14/5/031

published in Classical and Quantum Gravity 14(5), 1309-1327 (IOP Publishing) · Latex

arxiv created 1996/11/14 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We define spacetimes that are asymptotically flat, except for a deficit solid angle and present a definition of their `ADM' mass, which is finite for this class of spacetimes, and, in particular, coincides with the value of the parameter M of the global monopole spacetime studied by Vilenkin and Barriola. Moreover, we show that the definition is coordinate independent, and explain why it can, in some cases, be negative.

Citations

• Stability of gravity with a cosmological constant
• The Large Scale Structure of Space-Time
• Proof of the positive mass theorem. II
• A new proof of the positive energy theorem

Cited by

• Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes