42 citations · 117 across the 10 of their papers we have counts for
10 papers
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…
Anomalous magnetic moment of the positronium ion
Yi Liang, Paul L. McGrath, Andrzej Czarnecki
We determine the gyromagnetic factor of the positronium ion, a three-body system consisting of two electrons and a positron, including first relativistic corrections. We find that…
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…
Black Holes and Boson Stars with One Killing Field in Arbitrary Odd Dimensions
Sean Stotyn, Miok Park, Paul L. McGrath +1
We extend the recent D=5 results of Dias, Horowitz and Santos by finding asymptotically AdS rotating black hole and boson star solutions with scalar hair in arbitrary odd spacetime…
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…