Semiclassical gravitational effects near cosmic strings

Physics

Scientific paper

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Scientific paper

The vacuum expectation value of the stress-energy tensor of an arbitrary collection of conformal massless free quantum fields (scalar, spinor, and vector) in the presence of a static, cylindrically symmetric cosmic string is found, up to an undetermined numerical constant. This quantum stress-energy tensor is then used as a source in the linearized semiclassical Einstein equations, which are solved to find the first-order (in L) corrections to the exterior metric of a static, cylindrically symmetric cosmic string. The main result is that, at first-order in L, the (r, ø) two-space is no longer a simple flat cone; to this order the (r, ø) two- space is a (linearized) hyperboloid, which asymptotically approaches the classical conical surface at large values of r. The asymptotic value of the deficit angle of the cone is unchanged, still being precisely 8πμ.

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