ar X iv : 0 80 3 . 21 94 v 1 [ gr - q c ] 1 4 M ar 2 00 8 Quasi - local mass in the covariant Newtonian space - time
نویسنده
چکیده
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. PACS numbers: 04.20.Cv, 04.20.Gz, 04.25.Nx Submitted to: Class. Quantum Grav. Quasi-local mass in the Newtonian space-time 2
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