A new alternative method is presented here to find out a metric for an isolated charged mass situated at the origin in empty space. Since the charged mass has the both gravitational and electromagnetic field, therefore at first a crude line element or metric is considered for the mass, and then another crude line element is considered for the electric charge of the body. The both line elements are the functions of the distance, therefore combined the both line elements and a most general form of line element is found. To solve this metric Einstein’s gravitational and Maxwell’s electromagnetic (e-m) field equations are used. In the method of solutions e-m field tensor is also used which is found from Maxwell’s e-m field equations. After a rigorous derivation the metrics are found for both positively charged and negatively charged massive particles. The new metric for an electron is different as the metric is devised by Reissner and Nordstrom. The metric for a proton is extended for the massive body and which gives some new interesting information about the mass required to stop e-m interaction. This means that above the aforesaid mass there is no electrically charged body in the universe. On the other hand we can say that life cannot survive in those massive planets which masses are greater than 1.21 times of Jupiter mass. The metric found for proton is used to find another new metric for rotating charged massive body.
| Published in | International Journal of Applied Mathematics and Theoretical Physics (Volume 7, Issue 4) |
| DOI | 10.11648/j.ijamtp.20210704.12 |
| Page(s) | 94-104 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2021. Published by Science Publishing Group |
Metric, Line Element, Gravitational Field, e-m Field, e-m Field Tensor
| [1] | A. Einstein, “On the general theory of relativity”, Annalen der physic, 49; 769-822 (1916). English translation in the ‘The principle of Relativity by Metheun, Dover publications (1923). |
| [2] | K. Schwarzschild, “On the gravitational field of a point-mass according to Einstein theory”, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl.; 189 (English translation) Abraham Zeimanov J, 1: 10-19 (1916). |
| [3] | R. P. Kerr, “Gravitational field of a spinning mass as an example of algebraically special Metrics”, Physical Review Letters, 11 (5): 237-240 (1963). |
| [4] | E. Newman, A. Janis, “Note on the Kerr spinning-particle metric”, Journal of Mathematical Physics 6 (6); 915-917 (1965). |
| [5] | J. B. Hartle, “Gravity-An introduction to Einstein’s general relativity”, Pearson, 5th ed., p 400-419, (2012). |
| [6] | S. Weinberg, “Gravitation and Cosmology”, Wiley India Private Ltd., p412-415 (2014). |
| [7] | A. Z. Friedman, Phys. A, 10 (1), p 377 (1922). |
| [8] | H. P. Robertson, Astro. Phys. J., 82, p 284 (1935). |
| [9] | A. S. Eddington, The mathematical theory of relativity”, Published by Cambridge University Press; 185-187 (1923). |
| [10] | H. Reissner, “Uber die eigengravitation des elektrischen felds nach der Einsteinschen theorie”, Annalen der Physik (in German) 50 (9): 106-120 (1916). |
| [11] | G. Nordstrom, “On the energy of the gravitational field in Einstein theory”, Proc. Amsterdam Acad., 20, p1238 (1918). |
| [12] | G. B. Jeffery, “The field of an electron on Einstein’s theory of gravitation”, Proceeding Royal Society, A99: 123-134 (1921). |
| [13] | D. Finkelstein, “Past-future asymmetry of the gravitational field of a point particle”, Physical Review 110: 965-968 (1958). |
| [14] | R. H. Boyer and R. W. Lindquist, “Maximal analytic extension of the Kerr metric”, J. Math. Phys. 8 (2): 265-281 (1967). |
| [15] | E. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash, R. Torrence, “Metric of a rotating Charged mass”, Journal of Mathematical Physics, 6 (6): 918-919 (1965). |
| [16] | L. Ryder, “Introduction to General Relativity” Cambridge university press, 265-271 (2019). |
| [17] | N. Bijan, “Schwarzschild-like solution for ellipsoidal celestial objects”, Int. J. Phys. Sci. 6 (6): 1426-1430 (2011). |
| [18] | R. J. Beach, “A classical Field Theory of Gravity and Electromagnetism”, Journal of Modern Physics, 5: 928-939 (2014). |
| [19] | M. D. Yu-Ching, A derivation of the Kerr metric by ellipsoid coordinates transformation”, International Journal of Physical Science, 12 (11): 130-136 (2017). |
| [20] | M. A. El-Lakany, “Unification of gravity and electromagnetism”, Journal of Physical Science And Application, 7 (3): 15-24 (2017). |
| [21] | L. J. Wang, “Unification of gravitational and electromagnetic forces”, Fundamental Journal of Modern Physics 11 (1): 29-40 (2018). |
| [22] | B. K. Borah, “Gravitational and electromagnetic field of an isolated proton”, Journal of Ultra-scientist of Physical Science-A, 31 (3): 23-31 (2019). |
| [23] | B. K. Borah, “Gravitational and electromagnetic field of an isolated positively charged particle”, International Journal of Applied Mathematics and Theoretical Physics, 6 (4): 54-60 (2020). |
| [24] | B. K. Borah, “Gravitational and electromagnetic field of an isolated rotating charged particle”, International Journal of Applied Mathematics and Theoretical Physics, 7 (1): 16-27 (2021). |
APA Style
Bikash Kumar Borah. (2021). Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass. International Journal of Applied Mathematics and Theoretical Physics, 7(4), 94-104. https://doi.org/10.11648/j.ijamtp.20210704.12
ACS Style
Bikash Kumar Borah. Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass. Int. J. Appl. Math. Theor. Phys. 2021, 7(4), 94-104. doi: 10.11648/j.ijamtp.20210704.12
AMA Style
Bikash Kumar Borah. Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass. Int J Appl Math Theor Phys. 2021;7(4):94-104. doi: 10.11648/j.ijamtp.20210704.12
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ijamtp.20210704.12,
author = {Bikash Kumar Borah},
title = {Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass},
journal = {International Journal of Applied Mathematics and Theoretical Physics},
volume = {7},
number = {4},
pages = {94-104},
doi = {10.11648/j.ijamtp.20210704.12},
url = {https://doi.org/10.11648/j.ijamtp.20210704.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20210704.12},
abstract = {A new alternative method is presented here to find out a metric for an isolated charged mass situated at the origin in empty space. Since the charged mass has the both gravitational and electromagnetic field, therefore at first a crude line element or metric is considered for the mass, and then another crude line element is considered for the electric charge of the body. The both line elements are the functions of the distance, therefore combined the both line elements and a most general form of line element is found. To solve this metric Einstein’s gravitational and Maxwell’s electromagnetic (e-m) field equations are used. In the method of solutions e-m field tensor is also used which is found from Maxwell’s e-m field equations. After a rigorous derivation the metrics are found for both positively charged and negatively charged massive particles. The new metric for an electron is different as the metric is devised by Reissner and Nordstrom. The metric for a proton is extended for the massive body and which gives some new interesting information about the mass required to stop e-m interaction. This means that above the aforesaid mass there is no electrically charged body in the universe. On the other hand we can say that life cannot survive in those massive planets which masses are greater than 1.21 times of Jupiter mass. The metric found for proton is used to find another new metric for rotating charged massive body.},
year = {2021}
}
TY - JOUR T1 - Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass AU - Bikash Kumar Borah Y1 - 2021/10/28 PY - 2021 N1 - https://doi.org/10.11648/j.ijamtp.20210704.12 DO - 10.11648/j.ijamtp.20210704.12 T2 - International Journal of Applied Mathematics and Theoretical Physics JF - International Journal of Applied Mathematics and Theoretical Physics JO - International Journal of Applied Mathematics and Theoretical Physics SP - 94 EP - 104 PB - Science Publishing Group SN - 2575-5927 UR - https://doi.org/10.11648/j.ijamtp.20210704.12 AB - A new alternative method is presented here to find out a metric for an isolated charged mass situated at the origin in empty space. Since the charged mass has the both gravitational and electromagnetic field, therefore at first a crude line element or metric is considered for the mass, and then another crude line element is considered for the electric charge of the body. The both line elements are the functions of the distance, therefore combined the both line elements and a most general form of line element is found. To solve this metric Einstein’s gravitational and Maxwell’s electromagnetic (e-m) field equations are used. In the method of solutions e-m field tensor is also used which is found from Maxwell’s e-m field equations. After a rigorous derivation the metrics are found for both positively charged and negatively charged massive particles. The new metric for an electron is different as the metric is devised by Reissner and Nordstrom. The metric for a proton is extended for the massive body and which gives some new interesting information about the mass required to stop e-m interaction. This means that above the aforesaid mass there is no electrically charged body in the universe. On the other hand we can say that life cannot survive in those massive planets which masses are greater than 1.21 times of Jupiter mass. The metric found for proton is used to find another new metric for rotating charged massive body. VL - 7 IS - 4 ER -
Information
Email: