Weyl-Conformally Invariant Lightlike Branes: New Aspects in Black Hole Physics and Kaluza-Klein Dynamics
Emil Nissimov
INRNE, Sofia, Bulgaria
We discuss in some detail the properties of a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any
odd world-volume dimension. Their dynamics significantly differs from that of the ordinary (conformally non-invariant) Nambu-Goto p-branes. We present explicit solutions of the WILL-brane (Weyl-Invariant Light-Like brane) equations of motion in various gravitational models of physical relevance exhibiting the following new phenomena:
(i) In D=4 the WILL-membrane serves as a material and charged source for gravity and electromagnetism in the coupled Einstein-Maxwell-WILL-membrane system; it automatically positions itself on (materializes) the common event horizon of the corresponding matching black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics;
(ii) In product spaces of interest in Kaluza-Klein theories the WILL-brane wrappes non-trivially around the compact
(internal) dimensions and still describes massless mode dynamics in the non-compact (space-time) dimensions; we find new types of physically interesting
massless brane mode solutions due to nontrivial variable size of the internal compact dimensions..