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An expanding closed universe filled with radiation can either recollapse or tunnel to the regime of unbounded expansion, if the cosmological constant is nonzero. We re-examine the question of particle creation during tunneling, with the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Hong , A. Vilenkin , S. Winitzki

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

Brane worlds are theories with extra spatial dimensions in which ordinary matter is localized on a (3+1) dimensional submanifold. Such theories could have interesting consequences for particle physics and gravitational physics. In this…

General Relativity and Quantum Cosmology · Physics 2009-09-17 C. Csaki , J. Erlich , C. Grojean

Connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy conditions, and quantum inequality restrictions on negative energy for free massless scalar fields. In a two-dimensional compactified Minkowski…

General Relativity and Quantum Cosmology · Physics 2010-11-01 L. H. Ford , Thomas A. Roman

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…

High Energy Physics - Theory · Physics 2021-11-11 Jackson R. Fliss , Ben Freivogel , Eleni-Alexandra Kontou

Energy conditions, especially the null energy condition (NEC), are generically imposed on solutions to retain a physically sensible classical field theory and they also play an important role in the AdS/CFT duality. Using this duality, we…

High Energy Physics - Theory · Physics 2021-11-03 Carlos Hoyos , Niko Jokela , Jose Manuel Penín , Alfonso V. Ramallo , Javier Tarrío

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 expected stress-energy tensor <T_{ab}> of quantum fields generically violates the local positive energy conditions of general relativity. However, <T_{ab}> may satisfy some nonlocal conditions such as the averaged null energy condition…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eanna Flanagan , Robert Wald

Traversable topological bridges traditionally require exotic matter, violating the Null Energy Condition (NEC). This essay investigates whether matter-vacuum coupling can circumvent this necessity. Focusing on zero-tidal-force solutions, we…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Rodrigo Maier

Galileon theories are of considerable interest since they allow for stable violations of the null energy condition. Since such violations could have occurred during a high-energy regime in the history of our universe, we are motivated to…

High Energy Physics - Theory · Physics 2015-05-27 Justin Khoury , Jean-Luc Lehners , Burt A. Ovrut

We construct a model for the universe based on the existence of quantum fields at finite temperature in the background of Robertson-Walker spacetime in presence of a non-zero cosmological constant. We discuss the vacuum regime in the light…

General Relativity and Quantum Cosmology · Physics 2011-10-10 M. B. Altaie , U. Al-Ahmad

Closed, singularity-free, inflationary cosmological models have recently been studied in the context of general relativity. Despite their appeal, these so called emergent models suffer from a number of limitations. These include the fact…

Astrophysics · Physics 2009-11-10 David J. Mulryne , Reza Tavakol , James E. Lidsey , George F. R. Ellis

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

The null energy or null convergence condition (NEC) is one of the fundamental assumptions necessary for many celebrated results from Lorentzian Geometry and Mathematical General Relativity. As such there have been several recent efforts to…

Differential Geometry · Mathematics 2025-12-24 Melanie Graf , Yaver Gulusoy

We consider the possibility that the weak cosmic censorship conjecture can be violated using the Oppenheimer-Snyder collapse model with a perfect fluid star interior. Metric models with a naked singularity can be used, and the…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Il Gyeong Choi , Dong-han Yeom

We point out that theories of cosmological acceleration which have equation of state, w, such that 1+w is small but positive may still secretly violate the null energy condition. This violation implies the existence of observers for whom…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-05 Ignacy Sawicki , Alexander Vikman

A static self-tuning SO(3)xZ_2 symmetric and translation invariant braneworld setup with flat brane is considered. We discuss the null energy conditions (NEC) for matter on the brane and in the bulk and prove that for the static regular…

High Energy Physics - Theory · Physics 2009-12-17 Peter Koroteev , Maxim Libanov

We give a mini-review of scalar field theories with second-derivative Lagrangians, whose field equations are second order. Some of these theories admit solutions violating the Null Energy Condition and having no obvious pathologies. We give…

High Energy Physics - Theory · Physics 2015-06-18 V. A. Rubakov

We describe the different possibilities that a simple and apparently quite harmless classical scalar field theory provides to violate the energy conditions. We demonstrate that a non-minimally coupled scalar field with a positive curvature…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Carlos Barcelo , Matt Visser

Inflation and dark energy (DE), both featuring accelerated expansion, are crucial components of modern cosmology. As indicated by singularity theorems, null energy condition (NEC) violation is essential for resolving the initial singularity…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Gen Ye , Yong Cai