首页|On stability behaviors of 5D M-theory black objects
On stability behaviors of 5D M-theory black objects
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Using N=2 supergravity formalism,we investigate certain behaviors of five-dimensional black objects from the compactification of M-theory on a Calabi-Yau three-fold.The manifold has been constructed as the intersection of two homogeneous polynomials of degrees(ω+2,1)and(2,1)in a product of two weighted projective spaces given by (WP)4(ω,1,1,1,1)×(P)1.First,we determine the allowed electric charge regions of the BPS and non BPS black holes obtained by wrapping M2-branes on appropriate two cycles in such a proposed Calabi-Yau three-fold.After that,we calculate the entropy of these solutions which takes a maximal value corresponding to ω=1 defining the ordinary projective space (P)4.For generic values of ω,we show that the non BPS states are unstable.Then,we conduct a similar study of five-dimensional black strings.Concerning the allowed magnetic charge regions of the BPS and non BPS black stringy solutions derived from M5-branes on dual divisors,we calculate the tension taking a minimal value for (P)4.By determining the recombination factor,we show that the non-BPS black string states are stable in the allowed regions in the magnetic charge space.
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