The Spherically Symmetric Standard Model with Gravity

Details The Spherically Symmetric Standard Model with Gravity The Spherically Symmetric Standard Model with Gravity

2004-12-21

arxiv.org/abs/gr-qc/0412098v1

Gen.Rel.Grav.37:1435-1482,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

58 pages, 2 eps figures

Scientific paper

10.1007/s10714-005-0128-6

Spherical reduction of generic four-dimensional theories is revisited. Three different notions of "spherical symmetry" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and scalar fields. In each sector a different formalism seems to be most convenient: the Cartan formulation of gravity works best in the purely gravitational sector, the Einstein formulation is convenient for the Yang-Mills sector and for reducing scalar fields, and the Newman-Penrose formalism seems to be the most transparent one in the fermionic sector. Combining them the spherically reduced Standard Model of particle physics together with the usually omitted gravity part can be presented as a two-dimensional (dilaton gravity) theory.

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