Local compactification and black holes in d = 11 supergravity

Details Local compactification and black holes in d = 11 supergravity Local compactification and black holes in d = 11 supergravity

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984nuphb.233..477v&link_type=abstract

Nuclear Physics B, Volume 233, Issue 3, p. 477-487.

Physics

Nuclear Physics

21

Scientific paper

We consider solutions of d = 11 supergravity describing a product of a four-dimensional Schwarzschild geometry and a seven-sphere whose radius R does depend on r. Three cases are studied as follows.
(i) Vanishing photon fields: an exact solution with r-dependent R(r) is presented which exhibits a horizon.
(ii) Freund-Rubin asymptotics: Numerical results show that in this case solutions exist without a horizon at a finite value of r, but with R(0) = ∞.
(iii) Englert asymptotics: a striking analogy with the 't Hooft-Polyakov monopole is found which suggests the existence of a completely regular solution which interpolates between the Englert solution at r = ∞ and the Freund-Rubin solution at r = 0.
On leave from the Institute for Theoretical Physics, State University of New York at Stony Brook.

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