Problems connected with the tangential metric coefficient in the Schwarzschild metric - A possible solution

Details Problems connected with the tangential metric coefficient in the Schwarzschild metric - A possible solution Problems connected with the tangential metric coefficient in the Schwarzschild metric - A possible solution

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..81...85v&link_type=abstract

Astrophysics and Space Science, vol. 81, no. 1-2, Jan. 1982, p. 85-94.

Computer Science

Numerical Analysis

2

Gravitational Fields, Potential Energy, Schwarzschild Metric, Spherical Coordinates, Spherical Shells, Anisotropy, Isotropism, Numerical Analysis

Scientific paper

It is shown that the following four problems, in which it has until now been believed that the Schwarzschild metric cannot be used or is subject to unsurmountable difficulties, are easily solved by resort to three principles. The problems include: (1) the question of a metric that is useful in the PPN-formalism checking of different gravitational theories; (2) the status of Mach's principle, in the case of the inside of a massive, hollow sphere for which the flatness of the spacetime is a generally accepted solution; (3) the metrical discontinuity of such a massive spherical shell; and (4) the anisotropy of the mass-energy of a test particle in the gravitational field. The principles proposed are: (1) the space is contracted in the gravitational field, so that measured distances have greater magnitudes; (2) the relating of potential energy to a potential level at which a stationary observer is placed, with the general relativistic potential being used; and (3) the introduction of a new metric distinct from the Schwarzschild, which will isotropically warp the space in the gravitational field.

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