Block-Orthogonal Brane Systems, Black Holes and Wormholes

TL;DR

This paper presents a unified framework for multidimensional gravity with p-branes, deriving exact solutions, analyzing black hole properties, and exploring wormhole restrictions and solutions in various configurations.

Contribution

It introduces a unified approach to multidimensional p-brane systems, providing exact solutions and analyzing black hole and wormhole properties under orthogonality conditions.

Findings

Exact solutions for multidimensional p-brane configurations.

A no-hair-type theorem for black holes in these models.

Restrictions on Lorentzian wormholes and explicit Euclidean wormhole solutions.

Abstract

Multidimensional cosmological, static spherically symmetric and Euclidean configurations are described in a unified way for gravity interacting with several dilatonic fields and antisymmetric forms, associated with electric and magnetic p-branes. Exact solutions are obtained when certain vectors, built from the input parameters of the model, are either orthogonal in the minisuperspace, or form mutually orthogonal subsystems. Some properties of black-hole solutions are indicated, in particular, a no-hair-type theorem and restrictions emerging in models with multiple times. From the non-existence of Lorentzian wormholes, a universal restriction is obtained, applicable to orthogonal or block-orthogonal subsystems of any p-brane systems. Euclidean wormhole solutions are found, their actions and radii are explicitly calculated.