Metric for a Temporal Manifold Derived from Special Relativity and Newtonian Classical Gravitational Potential

Authors

  • Rickey W. Austin (PhD Candidate, NC A&T, Greensboro, NC, USA) Senior Research Scientist, River Song Innovations Inc, North Carolina A&T State University 1601 E Market St. Greensboro, NC 27401

DOI:

https://doi.org/10.19044/esj.2017.v13n18p47

Abstract

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.

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Published

2017-06-30

How to Cite

Austin, R. W. (2017). Metric for a Temporal Manifold Derived from Special Relativity and Newtonian Classical Gravitational Potential. European Scientific Journal, ESJ, 13(18), 47. https://doi.org/10.19044/esj.2017.v13n18p47

Issue

Vol. 13 No. 18 (2017): ESJ JUNE EDITION

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.