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Dark energy candidates for which the equation-of-state parameter w is less than -1 violate the dominant energy condition, and are typically unstable. In scalar-tensor theories of gravity, however, the expansion of the universe can mimic the…

Astrophysics · Physics 2008-11-26 Sean M. Carroll , Antonio De Felice , Mark Trodden

Null Energy Condition (NEC) can be violated in a consistent way in models with unconventional kinetic terms, notably, in Galileon theories and their generalizations. We make use of one of these, the scale-invariant kinetic braiding model,…

High Energy Physics - Theory · Physics 2015-06-15 V. A. Rubakov

We show that the averaged null energy condition can be violated by a conformally coupled scalar field in a conformally flat spacetime in 3+1 dimensions. The violation is dependent on the quantum state and can be made as large as desired. It…

General Relativity and Quantum Cosmology · Physics 2010-01-28 Douglas Urban , Ken D. Olum

Explorations of the violation of null energy condition (NEC) in cosmology could enrich our understanding of the very early universe and the related gravity theories. Although a fully stable NEC violation can be realized in the ``beyond…

General Relativity and Quantum Cosmology · Physics 2022-10-24 Yong Cai , Ji Xu , Shuai Zhao , Siyi Zhou

Warp drives are exotic solutions of general relativity that offer novel means of transportation. In this study, we present a solution for a constant-velocity subluminal warp drive that satisfies all of the energy conditions. The solution…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Jared Fuchs , Christopher Helmerich , Alexey Bobrick , Luke Sellers , Brandon Melcher , Gianni Martire

Null energy condition plays a crucial role in holographic renormalization group flow, leading to the holographic c-theorem. Unfortunately, the null energy condition is quantum mechanically violated. Even the averaged version can be…

High Energy Physics - Theory · Physics 2015-06-12 Yu Nakayama

Apart from the suspected violation of the CPT invariance, we might expect if the measurements of antihydrogen atoms provide testing Weak Equivalence Principle (WEP) in the gravitational phenomena. We start with how its violation can be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasunori Fujii

Warp drives are very interesting configurations in General Relativity: At least theoretically, they provide a way to travel at superluminal speeds, albeit at the cost of requiring exotic matter to exist as solutions of Einstein's equations.…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Stefano Finazzi , Stefano Liberati , Carlos Barceló

We address the question whether quantum probes in a gravitational field can be considered as test particles obeying the weak equivalence principle (WEP). A formulation of the WEP is proposed which applies also in the quantum regime, while…

General Relativity and Quantum Cosmology · Physics 2017-05-18 Luigi Seveso , Matteo G. A. Paris

Looking at current proposals of so-called `warp drive spacetimes', they appear to employ General Relativity only at an elementary level. A number of strong restrictions are imposed such as flow-orthogonality of the spacetime foliation,…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Hamed Barzegar , Thomas Buchert

This review summarizes the current status of the energy conditions in general relativity and quantum field theory. We provide a historical review and a summary of technical results and applications, complemented with a few new derivations…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Eleni-Alexandra Kontou , Ko Sanders

We give detailed proofs of several new no-go theorems for constructing flat four-dimensional accelerating universes from warped dimensional reduction. These new theorems improve upon previous ones by weakening the energy conditions, by…

High Energy Physics - Theory · Physics 2009-02-02 Daniel H. Wesley

In the framework of general relativity (GR), gravitational waves (GWs) travel at the speed of light across all frequencies. However, massive gravity and weak equivalence principle (WEP) violation may lead to frequency-dependent variations…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Xian-Liang Wang , Shu-Cheng Yang , Wen-Biao Han

A `quantum inequality' (a conjectured relation between the energy density of a free quantum field and the time during which this density is observed) has recently been used to rule out some of the macroscopic wormholes and warp drives. I…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Krasnikov

We will apply the quantum inequality type restrictions to Alcubierre's warp drive metric on a scale in which a local region of spacetime can be considered ``flat''. These are inequalities that restrict the magnitude and extent of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Michael J. Pfenning , L. H. Ford

The energy conditions play an important role in the understanding of several properties of the Universe, including the current accelerating expansion phase and the possible existence of the so-called phantom fields. We show that the…

Astrophysics · Physics 2009-06-23 M. P. Lima , S. Vitenti , M. J. Reboucas

The weak equivalence principle (WEP) is the cornerstone of gravitational theories. At the local scale, WEP has been tested to high accuracy by various experiments. On the intergalactic distance scale, WEP could be tested by comparing the…

General Relativity and Quantum Cosmology · Physics 2020-10-26 Shu-Cheng Yang , Wen-Biao Han , Gang Wang

We study whether a violation of the null energy condition necessarily implies the presence of instabilities. We prove that this is the case in a large class of situations, including isotropic solids and fluids relevant for cosmology. On the…

High Energy Physics - Theory · Physics 2009-11-11 S. Dubovsky , T. Gregoire , A. Nicolis , R. Rattazzi

Warp-drives are solutions of general relativity widely considered unphysical due to high negative energy requirements. While the majority of the literature has focused on macroscopic solutions towards the goal of interstellar travel, in…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Lorenzo Pieri

New observational constraints on the cosmic matter density $\Omega_m$ and an effectively redshift-independent equation of state parameter $w_x$ of the dark energy are obtained while simultaneously testing the strong and null energy…