Non-spherical gravitational collapse of strange quark matter - iucaa

gravitational collapse of uncharged (i.e. q 2 e 2 (u) = 0 ) strange quark matter leads toa naked singularity or not.toFor the uncharged case, we put q 2 e 2 (u) = 0 into Eq.(18). Then Eq.(28) reduces4λX 2 0 + 4βx 5/30 + 8 = 0 (30)As all the coefficients in Eq.(30) are positive, we conclude, from the theory of equationsthat, there is no positive root to this equation. In other words, outgoing radialnull geodesics having definite tangent at the singularity in the past are absent, hencethe singularity arising in this case is not naked.proceeds to form toroidal (cylindrical or planar) black holes.Thus the gravitational collapse4. ConclusionThe motivation for this work originated from the need for obtaining and studying thenature of the singularities in non-spherically symmetric spacetimes. In this paper wehave studied the visibility of naked singularities, investigating the behavior of radialnull geodesics in the non-spherical gravitational collapse of strange quark matter. Itis found that charge plays a crucial role in the non-spherical gravitational collapse ofstrange quark matter. The interesting feature which emerges is that the non-sphericalcollapse of charged strange quark matter leads to a naked singularity whereas thegravitational collapse of neutral quark matter proceeds to form a black hole.Thus non-spherical gravitational collapse of charged strange matter contradictsthe CCH, whereas collapse of neutral strange matter respects it.AcknowledgmentAuthors(KDP and SSZ) would like to thank IUCAA, Pune (India) for kind hospitalityunder associateship programme, where part of this work was done.References[1] D M Eardley and L Smar, Phys. Rev. D19, 2239 (1979)[2] D Christodoulou, Commun. Math. Phys., 93, 171 (1984)[3] R P A C Newman, Class. Quantum. Grav., 3, 527 (1986)8