Nontrivial anisotropic supergravity cosmological solution

Details Nontrivial anisotropic supergravity cosmological solution Nontrivial anisotropic supergravity cosmological solution

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985nciml..42..309l&link_type=abstract

Nuovo Cimento, Lettere, Serie 2, vol. 42, March 16, 1985, p. 309-312.

Mathematics

4

Anisotropic Media, Cosmology, Gravitation Theory, Supergravity, Unified Field Theory, Singularity (Mathematics), Space-Time Functions, Toruses

Scientific paper

A nontrivial anisotropic cosmological solution of d = 11 supergravity is derived for the case of a Bianchi type VI(0) metric on M4 coupled with the ansatz of Freund and Rubin (1980), Duff and Pope (1983), and Englert (1982) on M4 x M7. The solution is found to have a time-dependent cosmological constant Lambda = about 1/t squared), while the radius of the locally maximally symmetric torus on M7 is given by R7 = about t to the 1/7th. The solution describes a model of an expanding universe with constantly increasing three-dimensional volume (V3 = about t to the 3/7th) but with a high degree of anisotropy, since the function R1 contracts (as t to the -1/7th) while R3 expands (as t) from a singularity at t = 0.

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