Lorentzian regularization and the problem of point-like particles in general relativity

Details Lorentzian regularization and the problem of point-like particles in general relativity Lorentzian regularization and the problem of point-like particles in general relativity

2000-06-28

arxiv.org/abs/gr-qc/0006100v2

J.Math.Phys. 42 (2001) 4391-4418

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, to appear in J. Math. Phys

Scientific paper

10.1063/1.1384864

The two purposes of the paper are (1) to present a regularization of the self-field of point-like particles, based on Hadamard's concept of ``partie finie'', that permits in principle to maintain the Lorentz covariance of a relativistic field theory, (2) to use this regularization for defining a model of stress-energy tensor that describes point-particles in post-Newtonian expansions (e.g. 3PN) of general relativity. We consider specifically the case of a system of two point-particles. We first perform a Lorentz transformation of the system's variables which carries one of the particles to its rest frame, next implement the Hadamard regularization within that frame, and finally come back to the original variables with the help of the inverse Lorentz transformation. The Lorentzian regularization is defined in this way up to any order in the relativistic parameter 1/c^2. Following a previous work of ours, we then construct the delta-pseudo-functions associated with this regularization. Using an action principle, we derive the stress-energy tensor, made of delta-pseudo-functions, of point-like particles. The equations of motion take the same form as the geodesic equations of test particles on a fixed background, but the role of the background is now played by the regularized metric.

Affiliated with

Also associated with

No associations

Rating

Lorentzian regularization and the problem of point-like particles in general relativity 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 Lorentzian regularization and the problem of point-like particles in general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lorentzian regularization and the problem of point-like particles in general relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490100