42 citations · 117 across the 10 of their papers we have counts for
8 papers · 1 filter
Relativistic geoids and time dependence: quasilocal frames versus isochronometric surfaces
Marius Oltean, Richard J. Epp, Paul L. McGrath +1
In a recent paper [D. Philipp, V. Perlick, D. Puetzfeld, E. Hackmann, and C. Lämmerzahl, Phys. Rev. D 95, 104037 (2017)], a definition of a general-relativistic geoid, restricted t…
Geoids in General Relativity: Geoid Quasilocal Frames
Marius Oltean, Richard J. Epp, Paul L. McGrath +1
We develop, in the context of general relativity, the notion of a geoid -- a surface of constant "gravitational potential". In particular, we show how this idea naturally emerges a…
Rigid Quasilocal Frames
Paul L. McGrath
In this thesis, I examine in detail the properties of rigid quasilocal frames (RQF), which have been proposed as a geometrically natural way to define spatially extended reference…
Post-Newtonian Conservation Laws in Rigid Quasilocal Frames
Paul L. McGrath, Melanie Chanona, Richard J. Epp +2
In recent work we constructed completely general conservation laws for energy and linear and angular momentum of extended systems in general relativity based on the notion of a rig…
On the Existence and Utility of Rigid Quasilocal Frames
Richard J. Epp, Robert B. Mann, Paul L. McGrath
The notion of a rigid quasilocal frame (RQF) provides a geometrically natural way to define a system in general relativity, and a new way to analyze the problem of motion. An RQF i…
Momentum in General Relativity: Local versus Quasilocal Conservation Laws
Richard J. Epp, Paul L. McGrath, Robert B. Mann
We construct a general relativistic conservation law for linear and angular momentum for matter and gravitational fields in a finite volume of space that does not rely on any space…
Quasilocal Conservation Laws: Why We Need Them
Paul L. McGrath, Richard J. Epp, Robert B. Mann
We argue that conservation laws based on the local matter-only stress-energy-momentum tensor (characterized by energy and momentum per unit volume) cannot adequately explain a wide…
Rigid motion revisited: rigid quasilocal frames
Richard J. Epp, Robert B. Mann, Paul L. McGrath
We introduce the notion of a rigid quasilocal frame (RQF) as a geometrically natural way to define a "system" in general relativity. An RQF is defined as a two-parameter family of…