Effect of Cosmological Constant on the Periods of Vibrating System In the Reissner-Nordstrom Space-Time

Authors

  • Kalpana Pawar  Department of Mathematics, Shri R.R.Lahoti Science College, Morshi, Affiliated to S.G.B. Amravati University, Amravati, Maharashtra, India
  • Rishikumar Agrawal  Department of Mathematics, Hislop College, Nagpur, Maharashtra, India
  • N. T. Katre  Department of Mathematics, Nabira Mahavidyalaya, Katol, Nagpur, Maharashtra, India

Keywords:

Cosmological constant, R-N field, θ- vibrations, r or (?) - vibrations.

Abstract

In this paper considering circular trajectory r= constant in the plane θ=π/2 in the Reissner-Nordstrom (anti) de-Sitter space-time, a relation analogous to a relation between perihelic shift is obtained by using Shirokov's technique. Thereby our result supports the conclusion that the cosmological constant term Λ on gravitating particle instead of helping the matter to curve the space-time mode, decurves the space-time which means that nature of gravitational fields due to the matter and charges matter with cosmological constant Λ may be of different type. In our case θ- vibrations lie further behind r or (?) - vibrations as an effect of positive cosmological constant on the periods of vibrating system

References

  1. M.F. Shirokov, Gen. Rel. Grav. 4 (1973) 131.
  2. Robert J. Howes, Gen. Rel. Grav. 13 (1981) 830.
  3. H.J. Treder et al., Fundamental Principle of General Relativity Theory, NewYork/London: Plenum Press, 1980.
  4. G.D. Rathod and T.M. Karade (1989), Analen der Physik, 7, Folge Band 46, Heft.
  5. Kalpana Pawar and G.D. Rathod, Indian J. pure appl. Math., 32(8) : 1153-1156, August 2001.

IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2019-03-11

Issue

Volume 4, Issue 4, March-April-2019

Section

Research Articles

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How to Cite

[1]
Kalpana Pawar, Rishikumar Agrawal, N. T. Katre, " Effect of Cosmological Constant on the Periods of Vibrating System In the Reissner-Nordstrom Space-Time, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 4, Issue 4, pp.35-38, March-April-2019.