Brane Solutions with Tension

Abstract

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.

1+10 pages

References in corpus (4)

• Nonextremal black holes are BPS
• Black String Solutions with arbitrary Tension
• Extraordinary vacuum black string solutions
• Geometrical properties of the trans-spherical solutions in higher dimensions

Cited by in corpus (5)

• Inflation and late time acceleration in braneworld cosmological models with varying brane tension
• Two-branes with variable tension model and the effective Newtonian constant
• Geodesic motions in extraordinary string geometry
• Brane cosmology with variable tension
• Toroidal AdS Charged Branes and Toda Equations