The gravitation energy for a cylindrically and spherically symmetrical system

2005/07/04 by Roald Sosnovskiy, Sosnovskiy, Roald
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0507016

6 pages;added reference, corrected

openalex publication_date 2005/07/04 · arxiv created 2007/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It has been shown that t00 component of the energy-momentum pseudotensor in the case of cylindrically symmetrical static gravitational field cannot be interpreted as energy density of the gravitation field. An approach has been suggested allows one to express the energy density of the cylindrically or spherically symmetrical static gravitation field in terms of the metric tensor components. The approach based on the consideration of the process of isothermal compression of a cylinder consisted of incoherent matter.

Related

• The gravitational field energy density for symmetrical and asymmetrical systems
• On the problem of uniqueness of energy-momentum tensor of gravitational field
• The trivial solution of the gravitational energy-momentum tensor problem
• The Energy-Momentum Tensor for the Gravitational Field
• The Einstein equation and the energy density of the gravitational field