2007/08/31 by Matthew Corne, Arkady Kheyfets, Warner A. Miller +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling (piping) #Electromagnetic mass #Energy–momentum relation #General relativity #Geometry #Gravitation #Lorentz transformation #Momentum (technical analysis) #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Speed of gravity #Tensor (intrinsic definition) #Theory of relativity #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/23/019
published as Class.Quant.Grav.24:5999-6006,2007 · 7 pages, no figures
openalex publication_date 2007/11/21 · arxiv created 2008/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract. The energy–momentum tensor in general relativity contains only localized contributions to the total energy–momentum. Here, we consider a static, spherically symmetric object consisting of a charged perfect fluid. For this object, the total gravitational mass contains a non–localizable contribution of electric coupling (ordinarily associated with electromagnetic mass). We derive an explicit expression for the total mass which implies that the non–localizable contribution of electric coupling is not bound together by gravity, thus ruling out existence of the objects with pure Lorentz electromagnetic mass in general relativity. PACS numbers: 04.60.+n, 04.20.Cv, 04.20.Fy In general relativity, the energy–momentum tensor is determined as the variational derivative of the matter lagrangian with respect to the spacetime metric. For systems that include charged matter (either charged particles or charged fluid), the matter lagrangian is composed of the lagrangian of particles, lagrangian of the electromagnetic field and the interaction lagrangian (interaction between the particles or fluid and the electromagnetic field). An interesting feature of the variational procedure that yields the