SEMICLASSICAL GRAVITATIONAL EFFECTS NEAR COSMIC STRINGS

1987
4 pages
Published in:
  • Phys.Lett.B 188 (1987) 317-320
  • Published: 1987

Citations per year

198819972006201520230123456
Abstract: (Elsevier)
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 Ł) corrections to the exterior metric of a static, cylindrically symmetric cosmic string. The main result is that, at first-order in Ł, 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 8 πμ .
  • QUANTUM GRAVITY
  • APPROXIMATION: semiclassical
  • TENSOR: ENERGY-MOMENTUM
  • MODEL: STRING
  • Einstein equation
  • FIELD EQUATIONS: SOLUTION
  • PERTURBATION THEORY
  • FIELD THEORY: SPACE-TIME
  • FIELD THEORY: SCALAR