English

Structure and statistical properties of the semiclassical Einstein equations

General Relativity and Quantum Cosmology 2024-12-25 v1 Quantum Physics

Abstract

We treat the semiclassical Einstein equation as a quantum-classical hybrid and demonstrate the formal equivalence of its two derivation methods. This approach identifies the left-hand side of the equation as the expectation value of the Einstein tensor given the state of matter, and not its actual value in each realization of the set-up. As a result, standard criticisms of semiclassical gravity do not apply, and stochastic gravity emerges as a necessary extension

Keywords

Cite

@article{arxiv.2412.18213,
  title  = {Structure and statistical properties of the semiclassical Einstein equations},
  author = {Daniel R. Terno},
  journal= {arXiv preprint arXiv:2412.18213},
  year   = {2024}
}

Comments

a contribution to Quantum gravity and computation, edited by Dean Rickles and Hatem Elshatlawy

R2 v1 2026-06-28T20:47:46.905Z