The double role of Einstein's equations: as equations of motion and as vanishing energy-momentum tensor

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7 pages, no figures, latex file. Contribution to the meeting in honor of Plebanski. Any comments on this issue are welcome

Scientific paper

Diffeomorphism covariant theories with dynamical background metric, like gravity coupled to matter fields in the way expressed by Einstein-Hilbert's action or relativistic strings described by Polyakov's action, have `on-shell' vanishing energy-momentum tensor $t_{\mu\nu}$ because $t_{\mu\nu}$ is, essentially, the Eulerian derivative associated with the dynamical background metric and thus $t_{\mu\nu}$ vanishes `on-shell.' Therefore, the equations of motion for the dynamical background metric play a double role: as equations of motion themselves and as a reflection of the fact that $t_{\mu\nu}=0$. Alternatively, the vanishing property of $t_{\mu\nu}$ can be seen as a reflection of the so-called `problem of time' present in diffeomorphism covariant theories in the sense that $t_{\mu\nu}$ are written as linear combinations of first class constraints only.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The double role of Einstein's equations: as equations of motion and as vanishing 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 The double role of Einstein's equations: as equations of motion and as vanishing energy-momentum tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The double role of Einstein's equations: as equations of motion and as vanishing energy-momentum tensor will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-417847

All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.