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In this paper the averaged weak (AWEC) and averaged null (ANEC) energy conditions, together with uncertainty principle-type restrictions on negative energy (``quantum inequalities''), are examined in the context of evaporating black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

Using Visser's semi-analytical model for the stress-energy tensor corresponding to the conformally coupled massless scalar field in the Unruh vacuum, we examine, by explicitly evaluating the relevant integrals over half-complete geodesics,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongwei Yu

We consider averaged null energy conditions (ANEC) for strongly coupled quantum field theories in even (two and four) dimensional curved spacetimes by applying the no-bulk-shortcut principle in the context of the AdS/CFT duality. In the…

High Energy Physics - Theory · Physics 2020-12-02 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

The averaged null energy conditions (ANEC) states that, along a complete null curve, the negative energy fluctuations of a quantum field must be balanced by positive energy fluctuations. We use the AdS/CFT correspondence to prove the ANEC…

General Relativity and Quantum Cosmology · Physics 2015-02-24 William R. Kelly , Aron C. Wall

The evaporation of black holes with two horizons presents a rich thermodynamic landscape that departs fundamentally from the Schwarzschild paradigm. In this work, we analyze the Hawking temperature dynamics of the Kiselev black hole under…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Vitalii Vertogradov , Maksim Grigorev

The Averaged Null Energy Condition (ANEC) states that the integral along a complete null geodesic of the projection of the stress-energy tensor onto the tangent vector to the geodesic cannot be negative. Exotic spacetimes, such as those…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Eleni-Alexandra Kontou , Ken D. Olum

Hawking's black hole area theorem was proven using the null energy condition (NEC), a pointwise condition violated by quantum fields. The violation of the NEC is usually cited as the reason that black hole evaporation is allowed in the…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Eleni-Alexandra Kontou , Veronica Sacchi

The Averaged Null Energy Condition (ANEC) states that the integral along a complete null geodesic of the projection of the stress-energy tensor onto the tangent vector to the geodesic cannot be negative. ANEC can be used to rule out…

General Relativity and Quantum Cosmology · Physics 2015-07-23 Eleni-Alexandra Kontou

Dynamical black holes have an apparent horizon as one of their characteristics. The later might be null, time-like, or space-like surfaces that define the evolution of a black hole. Our study examines how an apparent horizon's behavior is…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Vitalii Vertogradov

We examine the achronal averaged null energy condition~(ANEC) for a class of conformal field theories~(CFT) at strong coupling in curved spacetime. By applying the AdS/CFT duality, we find holographic models which violate the achronal ANEC…

High Energy Physics - Theory · Physics 2019-09-11 Akihiro Ishibashi , Kengo Maeda , Eric Mefford

The negative energy density of Casimir systems appears to violate general relativity energy conditions. However, one cannot test the averaged null energy condition (ANEC) using standard calculations for perfectly reflecting plates, because…

High Energy Physics - Theory · Physics 2008-11-26 Noah Graham , Ken D. Olum

The Averaged Null Energy Condition (ANEC) requires that the average along a complete null geodesic of the projection of the stress-energy tensor onto the geodesic tangent vector can never be negative. It is sufficient to rule out many…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christopher J. Fewster , Ken D. Olum , Michael J. Pfenning

The averaged null energy condition (ANEC) requires that the integral over a complete null geodesic of the stress-energy tensor projected onto the geodesic tangent vector is never negative. This condition is sufficient to prove many…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Noah Graham , Ken D. Olum

We examine the quantum null energy condition (QNEC) for a $2+1$-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a…

High Energy Physics - Theory · Physics 2019-01-14 Akihiro Ishibashi , Kengo Maeda , Eric Mefford

A null line is a complete achronal null geodesic. It is proven that for any quantum fields minimally coupled to semiclassical Einstein gravity, the averaged null energy condition (ANEC) on null lines is a consequence of the generalized…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Aron C. Wall

We investigate the quantum null energy condition (QNEC) in holographic CFTs, focusing on half-spaces and particular classes of states. We present direct, and in certain cases nonperturbative, calculations for both the diagonal and off-…

High Energy Physics - Theory · Physics 2018-09-26 Zuhair U. Khandker , Sandipan Kundu , Daliang Li

We consider spherically-symmetric black holes in semiclassical gravity. For a collapsing radiating thin shell we derive a sufficient condition on the exterior geometry that ensures that a black hole is not formed. This is also a sufficient…

General Relativity and Quantum Cosmology · Physics 2019-06-04 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

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: the smeared null energy…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Eleni-Alexandra Kontou , Ben Freivogel , Dimitrios Krommydas

The quantum null energy condition (QNEC) is the only known consistent local energy condition in quantum theories. Contrary to the classical energy condition which are known to be violated in QFT, QNEC is a consequence of the quantum…

High Energy Physics - Theory · Physics 2020-09-16 Philipp Stanzer

We study the compatibility of the AdS/CFT duality with the bulk and boundary causality, and derive a conformally invariant averaged null energy condition (CANEC) for quantum field theories in 3 and 5-dimensional curved boundaries. This is…

High Energy Physics - Theory · Physics 2020-04-22 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda
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