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Space-Time curvature values using the Schwarzschild Model
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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