Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-04-07
Class.Quant.Grav.24:2743-2754,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, no figures, accepted by Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/24/10/017
We consider the interpretation of tetrad fields as reference frames in spacetime. Reference frames may be characterized by an antisymmetric acceleration tensor, whose components are identified as the inertial accelerations of the frame (the translational acceleration and the frequency of rotation of the frame). This tensor is closely related to gravitoelectromagnetic field quantities. We construct the set of tetrad fields adapted to observers that are in free fall in the Schwarzschild spacetime, and show that the gravitational energy-momentum constructed out of this set of tetrad fields, in the framework of the teleparallel equivalent of general relatrivity, vanishes. This result is in agreement with the principle of equivalence, and may be taken as a condition for a viable definition of gravitational energy.
Faria F. F.
Maluf Jos W.
Ulhoa S. C.
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