Lightlike Brane as a Gravitational Source of Misner-Wheeler-Type Wormhole

TL;DR

This paper develops a consistent description of lightlike branes, explores their behavior in Kerr and Kerr-Newman backgrounds, and constructs a self-consistent wormhole solution with the brane at the horizon affecting its properties.

Contribution

It introduces a dual formulation of lightlike branes, analyzes their dynamics in rotating black hole backgrounds, and constructs a novel wormhole model sourced by a lightlike brane.

Findings

Lightlike branes position themselves on horizons and rotate with black holes.

The brane tension acts as a dynamical degree of freedom.

A new wormhole solution with a brane at the horizon is constructed.

Abstract

Consistent Lagrangian description of lightlike p-branes (LL-branes) is presented in two equivalent forms - a Polyakov-type formulation and a dual to it Nambu-Goto-type formulation. An important characteristic feature of the LL-branes is that the brane tension appears as a non-trivial additional dynamical degree of freedom. Next, properties of p=2 LL-brane dynamics (as a test brane) in D=4 Kerr or Kerr-Newman gravitational backgrounds are discussed in some detail. It is shown that the LL-brane automatically positions itself on the horizon and rotates along with the same angular velocity. Finally, a Misner-Wheeler-type of Reissner-Nordstroem wormhole is constructed in a self-consistent electrically sourceless Einstein-Maxwell system in the D=4 bulk interacting with a LL-brane. The pertinent wormhole throat is located precisely at the LL-brane sitting on the outer Reissner-Nordstroem horizon with the Reissner-Nordstroem mass and charge being functions of the dynamical LL-brane tension.