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We are experiencing a golden age of experimental cosmology, with exact and accurate observations being used to constrain various gravitational theories like never before. Alongside these advancements, energy conditions play a crucial…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-08 Y. Myrzakulov , O. Donmez , M. Koussour , S. Muminov , D. Ostemir , J. Rayimbaev

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 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

In this work, we investigate Newtonian cosmologies with a time-varying gravitational constant, $G(t)$. We examine whether such models can reproduce the low-redshift cosmological observations without a cosmological constant, or any other…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-01 Ekim Taylan Hanımeli , Isaac Tutusaus , Brahim Lamine , Alain Blanchard

Perhaps the greatest challenge for fundamental theories based on compactification from extra dimensions is accommodating a period of accelerated cosmological expansion. Previous studies have identified constraints imposed by the existence…

High Energy Physics - Theory · Physics 2020-06-19 Gabriele Montefalcone , Paul J. Steinhardt , Daniel H. Wesley

We discuss a proposal on how gravitational collapse of a NEC (Null Energy Condition) violating spherically symmetric fluid distribution can avoid the formation of a zero proper volume singularity and eventually lead to a Lorentzian wormhole…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Soumya Chakrabarti , Sayan Kar

The renormalised vacuum expectation values of massless fermion (conventionally call it neutrino) stress-energy tensor are calculated in the static spherically-symmetrical wormhole topology. Consider the case when the derivatives of metric…

General Relativity and Quantum Cosmology · Physics 2009-10-30 V. Khatsymovsky

We develop a procedure to solve Einstein-dilaton-Maxwell models in quadratures using the potential reconstruction approach. We then apply this procedure to three distinct models, examining both the null energy condition (NEC) and the…

High Energy Physics - Theory · Physics 2026-05-05 Irina Ya. Aref'eva , Kristina Rannu , Viktor Zlobin

The de Sitter Swampland conjecture compels us to consider dark energy models where $\lambda(\phi) \equiv |\nabla_{\phi} V|/V$ is bounded below by a positive constant. Moreover, it has been argued for Quintessence models that the constant…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-23 Eoin Ó Colgáin , Hossein Yavartanoo

For Einstein's General Relativity (GR) or the alternatives suggested up to date the vacuum energy gravitates. We present a model where a new measure is introduced for integration of the total action in the D-dimensional space-time. This…

General Relativity and Quantum Cosmology · Physics 2020-05-20 E. I. Guendelman , A. B. Kaganovich

Cosmological measurements are affected by the energy density of both active and sterile massive neutrinos. We extend here a recent analysis of current cosmological data to non minimal cosmologies. Several possible scenarios are examined: a…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Elena Giusarma , Maria Archidiacono , Roland de Putter , Alessandro Melchiorri , Olga Mena

We characterize the null energy condition for an $(n+1)$-dimensional Lorentzian manifold in terms of convexity of the relative $(n-1)$-Renyi entropy along displacement interpolations on null hypersurfaces. More generally, we also consider…

Differential Geometry · Mathematics 2023-04-12 Christian Ketterer

In quadratic gravity, the junction conditions are six and permit the appearance of double layer thin shells. Double layers arise typically in theories with dipoles, i.e., two opposite charges, such as electromagnetic theories, and appear…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Joao Luís Rosa , Rui André , José P. S. Lemos

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

In this paper is considered nonlinear electrodynamics (NE) which does not satisfy the linear superposition principle (LSP). Since the presentation of the special theory of relativity, it has been commonly accepted that a famous formula E =…

Classical Physics · Physics 2021-10-20 Ho-Dong Jo , Chol-Song Kim

Despite all fundamental objections against Newtonian concepts in cosmology, the Friedmann equation derives from these in an astoundingly simple way through application of the shell theorem and conservation of Newtonian energy in an infinite…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Herman Telkamp

It is extraordinary that a number of observations indicate that we live in a spatially flat, low matter density Universe, which is currently undergoing a period of accelerating expansion. The effort to explain this current state has focused…

Astrophysics · Physics 2010-02-18 R. R. Caldwell

In QFT, the null energy condition (NEC) for a classical field configuration is usually associated with that configuration's stability against small perturbations, and with the sub-luminality of these. Here, we exhibit an effective field…

High Energy Physics - Theory · Physics 2012-09-18 Alberto Nicolis , Riccardo Rattazzi , Enrico Trincherini

We show that violation of the null energy condition implies instability in a broad class of models, including classical gauge theories with scalar and fermionic matter as well as any perfect fluid. When applied to the dark energy, our…

High Energy Physics - Theory · Physics 2009-11-11 Roman V. Buniy , Stephen D. H. Hsu

We study the interplay of the trans-Planckian censorship conjecture (TCC) and the swampland distance conjecture (SDC) in the context of multifield dark energy in a curved field space. In this scenario, the phase of accelerated expansion is…

High Energy Physics - Theory · Physics 2024-10-28 Guillaume Payeur , Evan McDonough , Robert Brandenberger