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Area of Science:

  • Theoretical physics
  • Quantum field theory
  • General relativity

Background:

  • Quantum vacuum polarization in gravitational fields is known but its spacetime backreaction is understudied.
  • Existing research is limited to homogeneous cosmological models.

Purpose of the Study:

  • To derive semiclassical stellar equilibrium equations including quantum vacuum polarization backreaction.
  • To find exact solutions for relativistic stars incorporating these semiclassical effects.

Main Methods:

  • Utilized quantum field theory in curved spacetimes.
  • Employed the s-wave Polyakov approximation.
  • Derived generalized Tolman-Oppenheimer-Volkoff equations.

Main Results:

  • Derived generalized semiclassical equations for stellar equilibrium.
  • Obtained the first exact solutions for relativistic stars with nonperturbative semiclassical backreaction.
  • Identified solutions as a combination of black star and gravastar concepts.

Conclusions:

  • Quantum vacuum polarization significantly impacts relativistic stellar structure.
  • The derived solutions offer new insights into compact object physics.
  • This work bridges quantum field theory and general relativity in astrophysics.