## Abstract

We consider self-consistent coupling of bulk EinsteinMaxwellKalbRamond system to codimension-one charged lightlike p-brane with dynamical (variable) tension (LL-brane). The latter is described by a manifestly reparametrization- invariant worldvolume action significantly different from the ordinary NambuGoto one. We show that the LL-brane is the appropriate gravitational and charge source in the EinsteinMaxwellKalbRamond equations of motion needed to generate a self-consistent solution describing nonsingular black hole. The latter consists of de Sitter interior region and exterior ReissnerNordström region glued together along their common horizon (it is the inner horizon from the ReissnerNordström side). The matching horizon is automatically occupied by the LL-brane as a result of its worldvolume Lagrangian dynamics, which dynamically generates the cosmological constant in the interior region and uniquely determines the mass and charge parameters of the exterior region. Using similar techniques we construct a self-consistent wormhole solution of EinsteinMaxwell system coupled to electrically neutral LL-brane, which describes two identical copies of a nonsingular black hole region being the exterior ReissnerNordström region above the inner horizon, glued together along their common horizon (the inner ReissnerNordström one) occupied by the LL-brane. The corresponding mass and charge parameters of the two black hole "universes" are explicitly determined by the dynamical LL-brane tension. This also provides an explicit example of MisnerWheeler "charge without charge" phenomenon. Finally, this wormhole solution connecting two nonsingular black holes can be transformed into a special case of KantowskiSachs bouncing cosmology solution if instead of ReissnerNordström we glue together two copies of the exterior ReissnerNordströmde Sitter region with big enough bare cosmological constant, such that the radial coordinate becomes a timelike variable everywhere in the two "universes," except at the matching hypersurface occupied by the LL-brane.

Original language | English |
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Pages (from-to) | 1571-1596 |

Number of pages | 26 |

Journal | International Journal of Modern Physics A |

Volume | 25 |

Issue number | 8 |

DOIs | |

State | Published - 30 Mar 2010 |

## Keywords

- Black hole's horizon "straddling"
- Dynamical brane tension
- Non-NambuGoto lightlike branes
- Regular black holes
- Wormholes

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics