Brane Solutions with Tension

Details Brane Solutions with Tension Brane Solutions with Tension

2009-05-27

arxiv.org/abs/0905.4338v2

Mod.Phys.Lett.A25:159-166,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

1+10 pages

Scientific paper

10.1142/S0217732310032354

In this note, we apply a special metric ansatz to simplify the equations of motion for gravitational systems. Then we construct charged brane solutions in $D=n+p+2$ dimensions which have spherical symmetry of $S^n$ and translational symmetry along $p$ directions. They are characterized by mass density, uniform tension and electric/magnetic charges, and nonsingular only for specific tension. In particular, we find the limits and the coordinate transformations which reduce the charged brane solutions to $M2$- and $M5$-branes. We also obtain the regularity condition for an electrically charged two-brane solution which has two tensions.

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