Semiclassical backreaction from massive quantum fields deforms the local exterior geometry of a global monopole but leaves its asymptotic solid-angle deficit unchanged.
Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole
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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 $0$, $1/2$, and $1$. The locally fixed quantum source falls as $r^{-6}$ and induces metric corrections of order $r^{-4}$. 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.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole
Semiclassical backreaction from massive quantum fields deforms the local exterior geometry of a global monopole but leaves its asymptotic solid-angle deficit unchanged.