Open AccessMetric for a Temporal Manifold Derived from Special Relativity and Newtonian Classical Gravitational Potential
Author(s) -
Rickey W. Austin
Publication year - 2017
Publication title -
european scientific journal
Language(s) - English
Resource type - Journals
eISSN - 1857-7881
pISSN - 1857-7431
DOI - 10.19044/esj.2017.v13n18p47
Subject(s) - two body problem in general relativity , schwarzschild metric , general relativity , schwarzschild geodesics , geodesic , schwarzschild radius , gravitational field , solving the geodesic equations , deriving the schwarzschild solution , classical mechanics , equivalence (formal languages) , tests of general relativity , physics , kerr metric , equivalence principle (geometric) , linearized gravity , mathematics , mathematical physics , gravitational redshift , gravitation , introduction to the mathematics of general relativity , numerical relativity , mathematical analysis , pure mathematics
In a previous paper (Austin, 2017) a method for calculating time dilation from Newtonian gravitational potential provided a first order equivalence to Schwarzschild’s solution to Einstein’s field equations. This equivalence is for the transformation of the time component between locations when only the radial component is changed. The derivation from the previous paper will be merged with Special Relativity’s kinetic energy derivation to form a metric for a Riemannian geometry. A geodesic is derived from the metric and compared to Schwarzschild’s solution.