Journal of Physics & Astronomy

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Calculation of the Space-Time Curvature in the Vicinity of Schwarzschild Black Holes: Application to Sagittarius A


Affiliations
1 Bachelors in physics from the Complutense University of Madrid UCM. Mathematics teacher in a secondary school, Spain
 

We have calculated values of space-time curvature in the vicinity of Schwarzschild black holes. For this we have used the metric and the results of Schwarzschild collected in his study on relativistic gravitation published in 1916 as well as techniques of differential geometry of surfaces. This has allowed us to obtain values of space-time curvature in the vicinity of SAGITTARIUS A*, and thereby giving a physical content to our mathematical approach to the subject. The results are consistent with what was expected.

Keywords

Black holes; Curvature of space-time; Cosmology; General relativity
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  • Schwarzschild K. On the gravitational field of a mass point according to Einstein's theory. arXiv preprint physics/9905030. 1999.

  • Differential geometry of surfaces – Wikipedia

  • Harwit M. Astrophysical concepts, Astronomy and astrophysics library (3.ª edition). Great Britain. Springer. ISBN 0-387-94943-7.1998:72-5.

  • Iza F.S. A simple formula that allows to calculate the curvature of the trajectory in the Minkowsky space-time of a point located at a fixed distance from a point mass. J. Phys. Astron. 2023;11(4)


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  • Calculation of the Space-Time Curvature in the Vicinity of Schwarzschild Black Holes: Application to Sagittarius A

Abstract Views: 89  |  PDF Views: 1

Authors

Fernando Salmon Iza
Bachelors in physics from the Complutense University of Madrid UCM. Mathematics teacher in a secondary school, Spain

Abstract


We have calculated values of space-time curvature in the vicinity of Schwarzschild black holes. For this we have used the metric and the results of Schwarzschild collected in his study on relativistic gravitation published in 1916 as well as techniques of differential geometry of surfaces. This has allowed us to obtain values of space-time curvature in the vicinity of SAGITTARIUS A*, and thereby giving a physical content to our mathematical approach to the subject. The results are consistent with what was expected.

Keywords


Black holes; Curvature of space-time; Cosmology; General relativity

References