FIZIKA B 17 (2008) 4, 435 - 446

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STRUCTURE OF RADIAL NULL GEODESICS IN MONOPOLE-CHARGED VAIDYA SPACETIME

S. S. ZADEa K. D. PATILb and P. N. MULKALWARc
aDepartment of Mathematics, J. B. College of Science, Wardha (M. S.), India
E-mail address: [email protected]
bDepartment of Mathematics, B. D. College of Engineering, Sewagram, Wardha (M. S.), India
E-mail address: [email protected]
cDepartment of Computer Science, Amolakchand Mahavidyalaya, Yavatmal (M. S.), India

Received 19 December 2007;  Accepted 5 November 2008
Online 12 February 2009

The monopole-charged Vaidya model containing a naked singularity is analyzed for outgoing radial null geodesics. Using the Clarke and Krolak criteria, the curvature strength of naked singularity is examined to show that this is a strong curvature singularity, providing a counter example to cosmic censorship hypothesis (CCH). The graphs of the apparent horizons for different values of parameters have been drawn. An interesting feature which emerges is that, the monopole component pushes the apparent horizon towards the radial axis and thereby increases the radius of the apparent horizon in Vaidya collapse.

PACS numbers: 04.20.Dw, 04.20.Cv, 04.70.Bw
UDC 524.88, 524.35

Keywords:cosmic censorship, naked singularity, gravitational collapse

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