General relativity without general relativity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Einstein Equations, Gravitation Theory, Gravitational Constant, Relativity, Variable Mass Systems, Black Holes (Astronomy), Field Theory (Physics), Isotropy, Neutron Stars, Scalars, Stellar Models, Tensors

Scientific paper

A recent paper (Bekenstein, 1977) proposed a general theory of variable rest masses (VMT) compatible with post-Newtonian solar-system experiments for a wide range of its two parameters r and q, provided the asymptotic value of its fundamental field is in a certain narrow range. The present paper shows that the stationary matter-free black-hole solutions of the VMT are identical to those of general relativity (GR). The VMT retains all elements of GR except for the experimentally unverified assumption that the gravitational coupling constant is a space-time constant. Because of this the VMT seems more appropriate than GR as a working theory.

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