Physics – Mathematical Physics
Scientific paper
2011-09-24
Physics
Mathematical Physics
paper presented at the IX International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICC9),
Scientific paper
In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and non null nonmetricity spacetimes) or that we even can dispense all those geometrical structures and simply represent the gravitational field as a field, in the Faraday's sense, living in Minkowski spacetime. The explicit Lagrangian density for this theory is given and the field equations (which are a set of four Maxwell's like equations) are shown to be equivalent to Einstein's equations. We also analyze if the teleparallel formulation can give a mathematical meaning to "Einstein's most happy thought", i.e. the equivalence principle. Moreover we discuss the Hamiltonian formalism for for our theory and its relation to one of the possibles concepts for energy of the gravitational field which emerges from it and the concept of ADM energy. One of the main results of the paper is the identification in our theory of a legitimate energy-mometum tensor for the gravitational field expressible through a really nice formula.
No associations
LandOfFree
Nature of the Gravitational Field and its Legitimate Energy-Momentum Tensor 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 Nature of the Gravitational Field and its Legitimate Energy-Momentum Tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nature of the Gravitational Field and its Legitimate Energy-Momentum Tensor will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-602673