Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-12-23
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTex, 8 pages
Scientific paper
It is shown that in the 4d Euclidean space there are two causal structures defined by the temporal field. One of them is well-known Minkowski spacetime. In this case the gravitational potential (the positive definite Riemann metric) and temporal field satisfy the Einstein equations with trivial energy-momentum tensor. However, in the case of the second causal structure the gravitational potential and temporal field should be connected with some nontrivial energy-momentum tensor. We consider the simplest case with energy-momentum tensor of the real scalar field and derive exact solution of the field equations. It can be viewed as the ground to consider the second causal structure on the equal footing with the Minkowski spacetime, i.e., as an object interesting from the physical point of view, especially in the framework of the field theory.
Pestov Ivanhoe B.
Saha Bijan
No associations
LandOfFree
Causal structures in the four dimensional Euclidean space 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 Causal structures in the four dimensional Euclidean space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Causal structures in the four dimensional Euclidean space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-696879