Self-Consistent Solutions for Bulk Gravity-Matter Systems Coupled to Lightlike Branes
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We study self-consistent D=4 gravity-matter systems coupled to a new class of Weyl-conformally invariant lightlike branes (WILL}-branes). The latter serve as material and charged source for gravity and electromagnetism. Further, due to the natural coupling to a 3-index antisymmetric tensor gauge field, the WILL-brane dynamically produces a space-varying bulk cosmological constant. We find static spherically-symmetric solutions where the space-time consists of two regions with black-hole-type geometries separated by the WILL-brane which "straddles" their common event horizon and, therefore, provides an explicit dynamical realization of the "membrane paradigm" in black hole physics. Finally, by matching via WILL-brane of internal Schwarzschild-de-Sitter with external Reissner-Nordstrom-de-Sitter (or external Schwarzschild-de-Sitter)geometries we discover the emergence of a potential "well" for infalling test particles in the vicinity of the WILL-brane (the common horizon) with a minimum on the brane itself.
20 pages, Based on talks at IV-th Summer School in Modern Mathematical Physics, Belgrade (Sept. 2006), and 2nd Workshop of European RTN "Constituents, Fundamental Forces and Symmetries of the Universe", Naples (Oct. 2006)
20 pages, Based on talks at IV-th Summer School in Modern Mathematical Physics, Belgrade (Sept. 2006), and 2nd Workshop of European RTN "Constituents, Fundamental Forces and Symmetries of the Universe", Naples (Oct. 2006)