Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-07-13
Prog.Theor.Phys. 104 (2000) 505-530; Erratum-ibid. 104 (2000) 1115-1116
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
35 pages
Scientific paper
10.1143/PTP.104.505
In extended new general relativity, which is formulated as a reduction of $\bar{Poincar\'e} $gauge theory of gravity whose gauge group is the covering group of the Poincar\'e group, we study the problem of whether the total energy-momentum, total angular momentum and total charge are equal to the corresponding quantities of the gravitational source. We examine this for charged axi-symmetric solutions of gravitational field equations. Our main concern is the restriction on the asymptotic form of the gravitational field variables imposed by the requirement that physical quantities of the total system are equivalent to the corresponding quantities of the charged rotating source body. This requirement can be regarded as an equivalence principle in a generalized sense.
Kawai Takahiro
Shibata Kazunari
Tanaka Ichi
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