English

Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole

General Relativity and Quantum Cosmology 2026-06-30 v1

Abstract

We study the leading semiclassical backreaction of massive scalar, spinor, and vector fields in the spacetime of a pointlike global monopole. Starting from the renormalized stress-energy tensors obtained in the Schwinger--DeWitt approximation, we derive the first-order semiclassical geometry generated by a general conserved diagonal source and then specialize it to fields of spin 00, 1/21/2, and 11. The locally fixed quantum source falls as r6r^{-6} and induces metric corrections of order r4r^{-4}. The scalar field generically produces distinct temporal and radial metric functions, whereas the spinor and vector fields lead to one-function geometries. We analyze the resulting curvature correction, the acceleration of static observers, geodesic motion, and the validity domain of the first-order solution. The quantum backreaction produces a local deformation of the monopole exterior but does not modify its asymptotic solid-angle deficit.

Keywords

Cite

@article{arxiv.2606.31255,
  title  = {Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole},
  author = {Owen Pavel Fernández Piedra},
  journal= {arXiv preprint arXiv:2606.31255},
  year   = {2026}
}

Comments

16 pages, 5 figures