Other
Scientific paper
Oct 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aps..tsf.h5202p&link_type=abstract
American Physical Society, Joint Fall Meetings of the Texas Section of the APS, AAPT, and Zone 13 of the SPS October 28-30, 1999
Other
Scientific paper
N. Rosen and others have discussed the possibility of adding a flat background metric to general relativity. Doing so enables one to formulate a gravitational stress-energy tensor, not merely a pseudotensor, so gravitational energy-momentum is localized in a coordinate-independent way, and also permits the construction of alternate theories. Rosen's own bimetric theory has encountered empirical troubles with the binary pulsar, so it is of interest to see if other bimetric theories can be more successful. Including only the determinant of a flat metric in the gravitational action is perhaps the most modest way of writing an essentially bimetric theory. Our proposed ``slightly bimetric'' theory, which is of this form, contains general relativity as a special case, but also is consistent with non-general relativistic behavior, so it might serve as an empirical foil for the standard theory. Moreoever, the simple postulated action renders the ADM lapse function dynamical, so this theory distinguishes time from space and evolution from gauge transformation more plainly than does general relativity. Therefore, it should avoid some difficulties in the canonical formulation of general relativity.
Pitts Brian J.
Schieve William C.
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