Quantum fields on self-similar spacetimes

2025/09/12 by Zahn, Jochen
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2509.10360

Abstract

We study (scalar, not necessarily conformal) quantum fields on self-similar spacetimes. It is shown that in states respecting the self-similarity the expectation value of the stress tensor gives rise to a quantum Lyapunov exponent ω_q = 2, with a leading coefficient which is state-independent and geometric. Three examples for states respecting self-similarity are presented.

Citations

• Unveiling horizons in quantum critical collapse
• Renormalized stress-energy tensor for scalar fields in Hartle-Hawking, Boulware and Unruh states in the Reissner-Nordström spacetime
• On the Backreaction of Scalar and Spinor Quantum Fields in Curved Spacetimes - From the Basic Foundations to Cosmological Applications
• The Motion of Point Particles in Curved Spacetime
• Universality and scaling in gravitational collapse of a massless scalar field

Cited by

• Unveiling horizons in quantum critical collapse

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