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Space-Time curvature values using the Schwarzschild Model


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

In our last report published in this Journal and entitled "Calculation of the space-time curvature in the vicinity of Schwarzschild black holes. Application to Sagittarius A*" we had developed a method for calculating space-time curvatures based on the Schwarzschild model. and we had studied the results of curvatures at distances between 1 and 7 Schwarzschild radii. Now we extend our study calculating curvature values in a wider range of distances, between 1 and 1400 Schwarzschild radii, and we establish an equation by regression methods to calculate curvatures, at distances, from the center of black hole, between 1 and 1400 Schwarzschild radii. Our results allow us to calculate absolute values of curvature where the Schwarzschild model is valid.

Keywords

Black holes; Curvature of space-time; Cosmology; Generalized relativity
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  • Schwarzschild K. On the Gravitational Field of a Point Mass according to the Einsteinian Theory. In Source Book Astron. Astrophys., Harvard University Press. 1900-1975. 1979:451-55.
  • Differential geometry of surfaces
  • Iza F.S. Calculation of the space-time curvature in the vicinity of Schwarzschild black holes. Application to Sagittarius A*. J. Phys. Astron. 2023;11(6):350

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  • Space-Time curvature values using the Schwarzschild Model

Abstract Views: 96  |  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


In our last report published in this Journal and entitled "Calculation of the space-time curvature in the vicinity of Schwarzschild black holes. Application to Sagittarius A*" we had developed a method for calculating space-time curvatures based on the Schwarzschild model. and we had studied the results of curvatures at distances between 1 and 7 Schwarzschild radii. Now we extend our study calculating curvature values in a wider range of distances, between 1 and 1400 Schwarzschild radii, and we establish an equation by regression methods to calculate curvatures, at distances, from the center of black hole, between 1 and 1400 Schwarzschild radii. Our results allow us to calculate absolute values of curvature where the Schwarzschild model is valid.

Keywords


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

References