Computer Science
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phdt........33s&link_type=abstract
Ph.D. Thesis California Univ., Santa Barbara.
Computer Science
Extraterrestrial Radiation, Gravitation Theory, Relativity, String Theory, Einstein Equations, Gravitons, Scattering
Scientific paper
Some classical and quantum effects of Einstein's theory of gravity are investigated. Within the context of classical general relativity, the Hawking definition of mass in a Tolman-Bondi model that asymptotically approaches the open Friedmann universe is tested. An expanding universe filled with dustlike matter of zero pressure is considered. The matter distribution is spherically symmetric but nonhomogeneous. With appropriate boundary conditions, the calculation yields a finite and nonzero value for the Hawking mass, measured as a deviation from a renormalized zero mass in the unperturbed Friedmann model. These boundary conditions are more restrictive than those found for a model with gravitational radiation. The tree amplitude was next calculated for graviton-graviton scattering of the Einstein theory of gravity in D dimensions. It is shown that in ten dimensions this agrees completely with the zero-slope limit of the four particle tree amplitude given by the type-II superstring theory. When six of the spatial dimensions are compactified, it is shown that the four particle string amplitude agrees with the helicity amplitudes obtained from general relativity in four dimensions.
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