Universal Journal of Physics and Application Vol. 17(1), pp. 8 - 13
DOI: 10.13189/ujpa.2023.170102
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Killing Vector Fields and Conserved Currents on Rotationally Symmetric Space-time

Omprakash Atale ^*
Khandesh College Education Society's Moolji Jaitha College, India

ABSTRACT

In this paper, we have sketched how Einstein’s theory of gravity formulated on topology, i.e, space and time of rotations can be applied to tachyon dynamics and modified gravity. The initiative of formulating physical theories on topology was taken by many physicists in early 1980s among which a first successful attempt was taken by M. Carmeli and S. Malin followed by G. Zet, C. Pasnicu and M. Agop. The main idea of formulating gravity on such topology is due to the fact that the surface of sphere has more symmetries than distance in Minkowskian space-time. Thus, we are making the quantities dependent on angles instead of invariant lengths. Since we have changed the topology on which the theory is formulated, the definition of derivative operators and other differential operators changes. There are two kinds of geometries of topology, the first given by M. Carmeli and S. Malin is of commutative type where the derivatives commute and the other given subsequently by G. Zet, C. Pasnicu and M. Agop is of non-commutative type where the derivatives do not commute and result in an additional term in the equations. Although the Einstein’s field equation on topology was already derived [6][8], what we have tried in this paper is to construct Killing vector fields and conserved currents on topology.

KEYWORDS
Killing Vector Fields, Conserved Currents, Rotationally Symmetric Space-time

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Omprakash Atale , "Killing Vector Fields and Conserved Currents on Rotationally Symmetric Space-time," Universal Journal of Physics and Application, Vol. 17, No. 1, pp. 8 - 13, 2023. DOI: 10.13189/ujpa.2023.170102.

(b). APA Format:
Omprakash Atale (2023). Killing Vector Fields and Conserved Currents on Rotationally Symmetric Space-time. Universal Journal of Physics and Application, 17(1), 8 - 13. DOI: 10.13189/ujpa.2023.170102.