Kruskal Penrose Formalism for Lightlike Thin Shell Wormholes

by Emil Nissimov, Sc. ( Habil.) Corresponding Member Of Bulgarian Academy Of Sciences

at Particles and Fields Seminar

Mon, 26 Oct 2015, 15:00
Physics building (#54) room 207

Abstract

The original formulation of the Einstein Rosen bridge as a historically first example of a static spherically symmetric wormhole in Einstein Rosen s original paper from 1935 is not equivalent to the concept of the dynamical and nontraversable Einstein Rosen bridge Schwarzschild wormhole presented in modern textbooks on general relativity As explicitly shown in some of our previous works the correct mathematical treatment of the original Einstein Rosen bridge as a traversable wormhole requires the presence of a special kind of exotic matter This exotic matter is a specific lightlike brane located on the wormhole throat gluing the two universes two identical copies of the external spacetime region of a Schwarzschild black hole with a special relation between the negative brane tension and the Schwarzschild mass parameter The principal ingredient of the above result was the proposed by us qualitatively new manifestly reparametrization invariant world volume Lagrangian action for lightlike null branes where the lightlike brane dynamics is described in terms of Schwarzschild like world volume embedding coordinates Here we continue our analysis of the mathematically consistent formulation of the original traversable Einstein Rosen bridge by deriving the maximal analytic extension of its spacetime geometry along the lines of the well known Kruskal Penrose formalism NOTE This talk will follow the talk of Prof Alex Vikman announced separately

Created on 21-10-2015 by Bar Lev, Yevgeny (ybarlev)
Updaded on 21-10-2015 by Bar Lev, Yevgeny (ybarlev)