Machian Theory of Inertia and Gravitation

Details Machian Theory of Inertia and Gravitation Machian Theory of Inertia and Gravitation

Oct 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970phrvd...2.1400g&link_type=abstract

Physical Review D, vol. 2, Issue 8, pp. 1400-1409

Mathematics

Logic

17

Scientific paper

The generally covariant integral formulation of Einstein's field equations developed by Sciama, Waylen, and the author is used to define the source-free contribution to the inertial-gravitational field. A theory is then developed, based on Mach's ideas on the origins of inertia, that requires of acceptable cosmological models that they be entirely source-generated solutions of Einstein's field equations without the cosmological constant term. We show that many (and probably all) nonempty relativistic Robertson-Walker models with Λ=0 and 0<=p<=ρc2 are acceptable Machian cosmologies, in terms of this theory. On the other hand, many solutions are found to be unacceptable as Machian cosmologies, including the Minkowski, Schwarzchild, Kerr, Gödel, and Kantowski-Sachs-Thorne solutions. Some of the implications of this theory are discussed.

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