Massive Analogue of Ashtekar-CJD Action

Details Massive Analogue of Ashtekar-CJD Action Massive Analogue of Ashtekar-CJD Action

1992-08-25

arxiv.org/abs/gr-qc/9208010v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6p. Tex

Scientific paper

10.1016/0083-6656(93)90105-S

The action of Ashtekar gravity have been found by Cappovilla, Jacobson and Dell. It does not depend on the metric nor the signature of the space-time. The action has a similar structure as that of a massless relativistic particle. The former is naturally generalized by adding a term analogous to a mass term of the relativistic particle. The new action possesses a constant parameter regarded as a kind of a cosmological constant. It is interesting to find a covariant Einstein equation from the action. In order to do it we will examine how the geometrical quantities are determined from the non-metric action and how the Einstein equation follows from it.

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