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Iza, Fernando Salmon
- 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
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Authors
Affiliations
1 Bachelors in Physics from the Complutense University of Madrid UCM, ES
1 Bachelors in Physics from the Complutense University of Madrid UCM, ES
Source
Journal of Physics & Astronomy, Vol 11, No 4 (2023), Pagination: 1-2Abstract
A formula that allows calculating the curvature of the trajectory in the Minkowski space-time (scalar curvature) of a point in the case of a gravitational field caused by a point mass, through the values of mass and spatial distance.Keywords
Cosmology, General Relativity, Curvature of Space-Time.Full Text
References
- Espanol WH. Org. pluricelular,
- Prat J, Hogan C, Chang C, et al. Vacuum energy density measured from cosmological data. J. Cosmol. Astropart. Phys. 2022(06):015.
- Calculation of the Space-Time Curvature in the Vicinity of Schwarzschild Black Holes: Application to Sagittarius A
Abstract Views :21 |
PDF Views:1
Authors
Affiliations
1 Bachelors in physics from the Complutense University of Madrid UCM. Mathematics teacher in a secondary school, ES
1 Bachelors in physics from the Complutense University of Madrid UCM. Mathematics teacher in a secondary school, ES
Source
Journal of Physics & Astronomy, Vol 11, No 6 (2023), Pagination: 1-6Abstract
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 relativityFull Text
References
- 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)
- Space-Time curvature values using the Schwarzschild Model
Abstract Views :23 |
PDF Views:1
Authors
Affiliations
1 Bachelors in physics from the Complutense University of Madrid UCM. Mathematics teacher in a secondary school, ES
1 Bachelors in physics from the Complutense University of Madrid UCM. Mathematics teacher in a secondary school, ES
Source
Journal of Physics & Astronomy, Vol 11, No 7 (2023), Pagination: 1-3Abstract
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 relativityFull Text
References
- 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