2016/11/30 by Jonathan E. Thompson, Jonathan E Thompson, Hector Chen +2
Physics and Astronomy · #Gauge (firearms) #Gauge theory #Invariant (physics) #Pulsars and Gravitational Waves Research #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #Schwarzschild radius #Space time #Spacetime #Spherically symmetric spacetime #gr-qc
paper · pdf · doi:10.1088/1361-6382/aa7f5b
openalex created_date 2016/11/30 · arxiv created 2017/07/10 · openalex publication_date 2017/07/12 · arxiv updated 2017/08/16 · openalex updated_date 2026/08/06
Abstract Beginning with the pioneering work of Regge and Wheeler (1957 Phys. Rev . 108 1063), there have been many studies of perturbations away from the Schwarzschild spacetime background. In particular several authors Moncrief (1974 Ann. Phys . 88 323), Sachs (1964 Relativity, Groups and Topology (New York: Gordon and Breach)) and Brizuela et al (2007 Phys. Rev . D 76 024004) have investigated gauge invariant quantities of the Regge–Wheeler (RW) formalism. Steven Detweiler also investigated perturbations of Schwarzschild in his own formalism, introducing his own gauge choice which he denoted the ‘easy (EZ) gauge’, and which he was in the process of adapting for use in the second-order self-force problem. We present here a compilation of some of his working results, arising from notes for which there seems to have been no manuscript in preparation. In particular, we outline Detweiler’s formalism, list the gauge invariant quantities he used, and explain the process by which he found them.