A semiclassical singularity theorem

Fewster, Christopher J.; Kontou, Eleni-Alexandra

doi:10.48550/arxiv.2108.12668

Cited by 2 publications

(2 citation statements)

References 43 publications

(106 reference statements)

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“…The first semiclassical singularity theorem for timelike geodesic incompleteness was recently proven [25] and the required initial contraction estimated for cosmological spacetimes. An analogous theorem for null geodesic incompleteness was proven using SNEC as an assumption [15].…”

Section: Introductionmentioning

confidence: 99%

The double smeared null energy condition

Fliss¹,

Freivogel²,

Kontou³

2021

Preprint

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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 renormalized null energy averaged over a finite null segment, is known to be unbounded from below.Here, we propose an alternative, the double smeared null energy condition (DSNEC), stating that the null energy smeared over two null directions has a finite lower bound. We rigorously derive DSNEC from general worldvolume bounds for free quantum fields in Minkowski spacetime. Our method allows for future systematic inclusion of curvature corrections. As a further application of the techniques we develop, we prove additional lower bounds on the expectation values of various operators such as conserved higher spin currents. DSNEC provides a natural starting point for proving singularity theorems in semi-classical gravity.

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Section: Introductionmentioning

confidence: 99%

The double smeared null energy condition

Fliss¹,

Freivogel²,

Kontou³

2021

Preprint

Self Cite

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“…Interesting and recent applications in the backreaction setting related to strong cosmic censorship appear in [21,22,23,24,25,26]. A version of the classical singularity theorems of Hawking and Penrose in semiclassical gravity has been studied very recently in [27].…”

Section: Introductionmentioning

confidence: 99%

Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes

Juárez-Aubry¹,

Modak²

2021

Preprint

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We show two results for semiclassical gravity in globally hyperbolic spacetimes. First, we prove the existence of exact solutions to semiclassical gravity with a massless, conformally coupled Klein-Gordon field in globally hyperbolic spacetimes. Second, we prove that semiclassical gravity in (generically non-static) conformally static, globally hyperbolic spacetimes with a massless, conformally coupled Klein-Gordon field is well posed, when viewed as a coupled theory for the dynamical conformal factor of the metric and the Klein-Gordon theory. Namely, it admits unique and stable solutions whenever constrained fourth-order initial data for the conformal factor and suitably defined Hadamard initial data for the Klein-Gordon state are provided on a spacelike Cauchy surface.

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A semiclassical singularity theorem

Cited by 2 publications

References 43 publications

The double smeared null energy condition

The double smeared null energy condition

Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes

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