Implications of the shadow effect in theories of gravitation
Abstract
Following the idea of the theory of shadow states in quantum field theory, we construct a Newtonian theory and a Whitehead theory of gravitation with shadow gravitational potentials. As a heuristic approach, Einstein's theory of gravitation is modified by introducing the shadow effect. This is achieved by using the effective mass distribution which arises in the Newtonian theory of gravitation with shadow effect as the only nonvanishing component of the stressenergymomentum tensor of a static point source. It is found that in the static spherically symmetric solution of Einstein's equations, with proper choice of the new dynamical parameter, there is no surface of infinite red shift and the formation of a black hole can be avoided, leaving a naked singularity at the origin.
 Publication:

Physical Review D
 Pub Date:
 August 1974
 DOI:
 10.1103/PhysRevD.10.1085
 Bibcode:
 1974PhRvD..10.1085C
 Keywords:

 Field Theory (Physics);
 Gravitation Theory;
 Newton Theory;
 Quantum Theory;
 Relativity;
 Black Holes (Astronomy);
 Einstein Equations;
 Electrodynamics;
 Gravitational Collapse;
 Point Sources;
 Schwarzschild Metric;
 Astrophysics