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It is known that the formation of a wormhole typically involves a violation of the Weak Energy Condition (WEC), but the reverse is not necessarily true. In the context of Brans-Dicke gravity, the $\textit{generalized}$ Campanelli-Lousto…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Hoang Ky Nguyen , Mustapha Azreg-Aïnou

We present a static and axisymmetric traversable wormhole spacetime with vanishing Arnowitt-Deser-Misner (ADM) mass which is characterized by a length parameter $l$ and a deformation parameter $a$ and reduces to the massless Kerr vacuum…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Hideki Maeda

It has been shown that classical non-minimally coupled scalar fields can violate all of the standard energy conditions in general relativity. Violations of the null and averaged null energy conditions obtainable with such fields have been…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. H. Ford , Thomas A. Roman

Semiclassical gravity, in which a classical spacetime is sourced by the quantum expectation value of the stress-energy tensor, is a standard framework for describing the gravitational interaction of quantum matter. In the nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Hollis Williams

Starting with a field theoretic approach in Minkowski space, the gravitational energy momentum tensor is derived from the Einstein equations in a straightforward manner. This allows to present them as {\it acceleration tensor} = const.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

We consider the effective stress-energy tensors for the foreground and background sectors in ghost-free bimetric gravity. By considering the symmetries of the theory, we show that the foreground and background null energy conditions (NECs)…

General Relativity and Quantum Cosmology · Physics 2012-12-06 Valentina Baccetti , Prado Martin-Moruno , Matt Visser

We compute the local second variation of the von Neumann entropy of a region in theories with a gravity dual. For null variations our formula says that the diagonal part of the Quantum Null Energy Condition is saturated in every state, thus…

High Energy Physics - Theory · Physics 2018-10-17 Stefan Leichenauer , Adam Levine , Arvin Shahbazi-Moghaddam

We explore a curious but simple variant of the Bronnikov-Ellis (BE) wormhole spacetime with a specific `red-shift function' (i.e. $g_{00}$) in the line element. The matter required to support such a geometry violates the local Null Energy…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Sayan Kar

We investigate wormhole solutions within the framework of the semi-classical Einstein equations in the presence of the conformal anomaly (or trace anomaly). These solutions are sourced by a stress-energy tensor (SET) derived from the trace…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Mohammad Reza Mehdizadeh , Amir Hadi Ziaie , Francisco S. N. Lobo

We study the matter perturbations of a new AdS wormhole in (3+1)-dimensional Einstein-Born-Infeld gravity, called "natural wormhole", which does not require exotic matters. We discuss the stability of the perturbations by numerically…

High Energy Physics - Theory · Physics 2018-12-26 Jin Young Kim , Chong Oh Lee , Mu-In Park

We consider the evolution of traversable wormhole geometries in the inflationary, radiation -- and matter -- dominated eras, and dynamic wormholes with a traceless energy-momentum tensor (EMT), within the recently proposed {\it pole dark…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Mahdi Kord Zangeneh , Francisco S. N. Lobo , Hooman Moradpour

Recently, Fernandes discovered an analytic solution for rotating black holes in semiclassical gravity induced by the trace anomaly. These solutions exhibit some distinctive characteristics, including a non-spherically symmetric event…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Jie Jiang , Ming Zhang

Primordial null energy condition (NEC) violation would imprint a blue-tilted spectrum on gravitational wave background (GWB). However, its implications on the GWB might be far richer than expected. We present a scenario, in which after a…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Yong Cai , Yun-Song Piao

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

Quantum stress-energy tensors of fields renormalized on a Schwarzschild background violate the classical energy conditions near the black hole. Nevertheless, the associated equilibrium thermodynamical entropy $\Delta S$ by which such fields…

General Relativity and Quantum Cosmology · Physics 2009-12-30 David Hochberg , Thomas Kephart , James W. York

Semiclassical approximation to the Wheeler-DeWitt equation which corresponds to gravity with a minimally coupled scalar field has been performed. To the leading order, vacuum Einstein's equation along with the functional Schrodinger…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Abhik Kumar Sanyal

In this work, we undertake an analysis of new wormhole solutions within an action-dependent Lagrangian framework. These geometries can be traversable and supported by a positive energy density. The modification of the gravitational field…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Ismael Ayuso , Ruth Lazkoz

In order to be traversable, the static Lorentzian wormhole must be made out of some exotic matter that violates the weak energy condition. The quantized fields are the natural candidates as their stress-energy tensor, in many cases,…

General Relativity and Quantum Cosmology · Physics 2017-11-30 Ewa Kocuper , Jerzy Matyjasek , Kasia Zwierzchowska

In the standard approach to studying wormhole geometry, the presence of dark energy is unavoidable to ensure traversability. The dark energy provides the negative gravity effect to keep the throat open. The question we analyse is whether…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Ayan Banerjee , Sudan Hansraj , Anirudh Pradhan , Abdelghani Errehymy

The quantum null energy condition (QNEC) is a quantum generalization of the null energy condition which gives a lower bound on the null energy in terms of the second derivative of the von Neumann entropy or entanglement entropy of some…

High Energy Physics - Theory · Physics 2020-03-30 Taha A Malik , Rafael Lopez-Mobilia