Gravity on a parallelizable manifold. Exact solutions

Details Gravity on a parallelizable manifold. Exact solutions Gravity on a parallelizable manifold. Exact solutions

1998-06-28

arxiv.org/abs/gr-qc/9806110v1

Gen.Rel.Grav. 31 (1999) 187-203

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 17 pages

Scientific paper

The wave type field equation $\square \vt^a=\la \vt^a$, where $\vt^a$ is a coframe field on a space-time, was recently proposed to describe the gravity field. This equation has a unique static, spherical-symmetric, asymptotically-flat solution, which leads to the viable Yilmaz-Rosen metric. We show that the wave type field equation is satisfied by the pseudo-conformal frame if the conformal factor is determined by a scalar 3D-harmonic function. This function can be related to the Newtonian potential of classical gravity. So we obtain a direct relation between the non-relativistic gravity and the relativistic model: every classical exact solution leads to a solution of the field equation. With this result we obtain a wide class of exact, static metrics. We show that the theory of Yilmaz relates to the pseudo-conformal sector of our construction. We derive also a unique cosmological (time dependent) solution of the described type.

Affiliated with

Also associated with

No associations

Rating

Gravity on a parallelizable manifold. Exact solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gravity on a parallelizable manifold. Exact solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravity on a parallelizable manifold. Exact solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283375