A semiclassical singularity theorem

  title={A semiclassical singularity theorem},
  author={Christopher J. Fewster and Eleni-Alexandra Kontou},
  journal={Classical and Quantum Gravity},
Quantum fields do not satisfy the pointwise energy conditions that are assumed in the original singularity theorems of Penrose and Hawking. Accordingly, semiclassical quantum gravity lies outside their scope. Although a number of singularity theorems have been derived under weakened energy conditions, none is directly derived from quantum field theory. Here, we employ a quantum energy inequality satisfied by the quantized minimally coupled linear scalar field to derive a singularity theorem… 
A singularity theorem for evaporating black holes
The classical singularity theorems of General Relativity rely on energy conditions that are easily violated by quantum fields. Here, we provide motivation for an energy condition obeyed in
Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes
We prove that semiclassical gravity in conformally static, globally hyperbolic spacetimes with a massless, conformally coupled Klein-Gordon field is well posed, when viewed as a coupled theory for the
The double smeared null energy condition
Abstract The null energy condition (NEC), an important assumption of the Penrose singularity theorem, is violated by quantum fields. The natural generalization of the NEC in quantum field theory, the
The Return of the Singularities: Applications of the Smeared Null Energy Condition
The classic singularity theorems of General Relativity rely on energy conditions that can be violated in semiclassical gravity. Here, we provide motivation for an energy condition obeyed by


The occurrence of singularities in cosmology
  • S. Hawking
  • Physics, Mathematics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1966
It is shown that singularities of space-time are inevitable if the Einstein equations hold, if matter has normal properties and if the universe satisfies certain reasonable global conditions. The
Gravitational collapse and spacetime singularities
The nature of gravitational collapse was the subject of debate and controversy for much of the last century. During the 1960’s and 1970’s our understanding of general relativity consolidated and
Planck 2018 results. VI. Cosmological parameters
  • arXiv preprint arXiv:1807.06209 (2018) .
  • 1807
A new derivation of singularity theorems with weakened energy hypotheses
The original singularity theorems of Penrose and Hawking were proved for matter obeying the Null Energy Condition or Strong Energy Condition respectively. Various authors have proved versions of
A singularity theorem for Einstein–Klein–Gordon theory
Hawking’s singularity theorem concerns matter obeying the strong energy condition (SEC), which means that all observers experience a nonnegative effective energy density (EED), thereby guaranteeing
Integrals of incomplete beta functions, with applications to order statistics, random walks and string enumeration
Abstract. We study the probability that one beta-distributed random variable exceeds the maximum of two others, allowing all three to have general parameters. This amounts to studying Euler
A note on the Gannon–Lee theorem
We prove a Gannon–Lee theorem for non-globally hyperbolic Lorentzian metrics of regularity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
Existence and Uniqueness of Solutions of the Semiclassical Einstein Equation in Cosmological Models
We prove existence and uniqueness of solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a quantum massive scalar field with arbitrary coupling to the scalar
Existence and uniqueness of solutions of the semiclassical Einstein equation in cosmological models Ann
  • Henri Poincaré
  • 2021
Integrals of products of incomplete beta functions with an application to string enumeration
We study Euler transforms of products of two incomplete beta functions, giving closed forms in a variety of special cases, and series expansions of the fully general case. The results are applied to