Generalized Gauge Field Approach To Lightlike Branes

TL;DR

This paper introduces a unified action for lightlike p-branes in odd-dimensional worlds and explores their coupling to gravity and gauge fields, revealing their role in generating dynamic cosmological constants and black hole geometries.

Contribution

It formulates a general action for lightlike branes and demonstrates their coupling to Einstein-Maxwell systems, producing novel solutions with variable cosmological constants and horizon structures.

Findings

Lightlike branes can serve as sources for gravity and electromagnetism.

They can produce space-varying cosmological constants.

Solutions include black hole geometries separated by branes.

Abstract

We propose a general action describing the dynamics of lightlike (LL) p-branes in any odd (p+1) world-volume dimensions. Next, we consider self-consistent coupling of \textsl{LL}-membranes (p=2) to D=4 Einstein-Maxwell system plus a D=4 three-index antisymmetric tensor gauge field. The LL-brane serves as a material and charge source for gravity and electromagnetism and, furthermore, it produces a dynamical space-varying cosmological constant. We present static spherically-symmetric solutions where the space-time consists of two regions with different black-hole-type geometries and different values for dynamically generated cosmological constant, separated by the LL-brane which "straddles" their common event horizon.