Occurrence and Nature of Singularities in (n+2) – Dimensional Monopole Vaidya Solution

K.D.Patil; Lakshmi Madireddy; S.S.Zade

doi:https://doi.org/10.14445/22315373/IJMTT-V49P553

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 49 | Number 6 | Year 2017 | Article Id. IJMTT-V49P553 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P553

Occurrence and Nature of Singularities in (n+2) – Dimensional Monopole Vaidya Solution

K.D.Patil, Lakshmi Madireddy, S.S.Zade

Citation :

K.D.Patil, Lakshmi Madireddy, S.S.Zade, "Occurrence and Nature of Singularities in (n+2) – Dimensional Monopole Vaidya Solution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 6, pp. 331-338, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P553

Abstract

In the present paper we investigate here the occurrence of naked singularities as well as their nature in the gravitational collapse of higher dimensional space times of Monopole Vaidya solution. In the final state of the collapse, Black holes and naked singularities are shown to be developed. The number of dimensions is not restricted. These results involving here might be important in the light of the recent proposal given by String theory, which states that initially our Universe may be of infinite dimensions at higher energy level, there after that it got settled to 4D case by dimensional reduction the lower energy level. Thus final outcome of (n+2) dimensional gravitational collapse becomes most important issue in the gravitational Physics.

Keywords

Gravitational Collapse, Cosmic Censorship, Naked Singularity.

References

[1] Anzhong Wang and Yumei Wu. Generalized Vaidya solution, Gen. Relativ. Gravit., Vol.31, No.1, 107 , 1999.
[2] D. Christodoulou . Commu. Math. Phys. 93, 171, 1984.
[3] I.H.Dwivedi and P.S. Joshi , On the nature of naked singularities in Vaidya space-time, Class. Quantum. Grav., 6, 1599, 1989.
[4] D.M.Eardley and L.Smarr Phys.Rev.D 19, 2239, 1979.
[5] S.W.Hawking and G.F.R.Ellis The Large Scale Structure of Space time, Cambridge University Press, Cambridge, 1973.
[6] V.Husain, Exact solutions for null fluid collapse, Phys. Rev., D 53, R 1759, 1996.
[7] R.P.A.C. Newmann. Class.Quantum grav. 3, 527, 1986.
[8] K.D.Patil Structure of radial null geodesics in higher dimensional dust collapse , Phys.Rev .D67, 024017, 2003.
[9] K.D.Patil., Gravitational collapse in higher dimensional charged-Vaidya spacetime, Pramana J. Phys., Vol. 60(3), 423-431, 2003.
[10] K.D.Patil, The final fate of inhomogeneous dust collapse in higher dimensional space-time, Indian J. Phys., Vol. 77, No.3, 2003.
[11] K.D.Patil., C.S.Khodre. and S.S.Zade, ‘Final Fate of (n+2)- Dimensional Monopole Vaidya Solution’, International Journal of Mathematical Research & science, Vol. 1, 2013.
[12] K.DPatil, R.V.Saraykar and S.H.Ghate Pramana, J.Phys., Indian Academy of Science Vol.52, No.2, 253, 1999.
[13] K.D.Patil and S.S.Zade, Nature of singularities in higher dimensiona Hussain Space time, Int. J. Mod. Phys.D15, 1359-1371, 2006.