Quasi-local mass in the covariant Newtonian space-time

Details Quasi-local mass in the covariant Newtonian space-time Quasi-local mass in the covariant Newtonian space-time

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc.1059...19w&link_type=abstract

RELATIVISTIC ASTROPHYSICS: 5th Sino-Italian Workshop on Relativistic Astrophysics. AIP Conference Proceedings, Volume 1059, pp.

Physics

2

Classical General Relativity, Classical Electromagnetism, Maxwell Equations, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Experimental Studies Of Gravity, Physics Of Black Holes

Scientific paper

In general relativity, quasi-local energy-momentum expressions have been constructed from various formulae. However, Newtonian theory of gravity gives a well known and an unique quasi-local mass expression (surface integration). Since geometrical formulation of Newtonian gravity has been established in the covariant Newtonian space-time, it provides a covariant approximation from relativistic to Newtonian theories. By using this approximation, we calculate Komar integral, Brown-York quasi-local energy and Dougan-Mason quasi-local mass in the covariant Newtonian space-time. It turns out that Komar integral naturally gives the Newtonian quasi-local mass expression, however, further conditions (spherical symmetry) need to be made for Brown-York and Dougan-Mason expressions.

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