Higher-dimensional evolving wormholes satisfying the null energy condition

AbstractViewing the negative cosmological constant as a dynamical quantity derived from the matter field, we study the weak cosmic censorship conjecture for the higher-dimensional asymptotically AdS Reissner–Nordström black hole. To this end, using the stability assumption of the matter field perturbation and the null energy condition of the matter field, we first derive the first-order and second-order perturbation inequalities containing the variable cosmological constant and its conjugate quantity for the black hole. We prove that the higher-dimensional RN-AdS black hole cannot be destroyed under a second-order approximation of the matter field perturbation process.

Download Full-text

WORMHOLES SUPPORTED BY SCALAR FIELDS WITH NEGATIVE KINETIC ENERGY

International Journal of Modern Physics A ◽

10.1142/s0217751x09046023 ◽

2009 ◽

Vol 24 (27) ◽

pp. 5007-5018 ◽

Cited By ~ 3

Author(s):

F. RAHAMAN ◽

M. KALAM ◽

K. A. RAHMAN

Keyword(s):

Scalar Field ◽

Kinetic Energy ◽

Crucial Role ◽

Energy Condition ◽

Scalar Fields ◽

Phantom Energy ◽

Null Energy Condition ◽

Kinetic Term ◽

New Model ◽

Higher Dimensional

We provide a new model of higher-dimensional wormholes supported by phantom energy derived from a scalar field with negative kinetic term. We have shown that the Averaged Null Energy Condition (ANEC) violating phantom energy can be reduced as desired. We have also noticed that dimension of the space–time plays a crucial role for measuring the ANEC violating matter needed.

Download Full-text

SCALE INVARIANCE VS CONFORMAL INVARIANCE FROM HOLOGRAPHY

International Journal of Modern Physics A ◽

10.1142/s0217751x10050731 ◽

2010 ◽

Vol 25 (26) ◽

pp. 4849-4873 ◽

Cited By ~ 18

Author(s):

YU NAKAYAMA

Keyword(s):

Field Theory ◽

Conformal Invariance ◽

Scale Invariance ◽

Unsolved Problem ◽

Energy Condition ◽

Null Energy Condition ◽

Quantum Field ◽

Gravitational Theories ◽

Higher Dimensional ◽

Holographic Approach

The relation between scale invariance and conformal invariance is a subtle but important unsolved problem in the quantum field theory. We study a holographic approach to this problem and show that the null energy condition in the bulk effective gravitational theories guarantees the equivalence between the scale invariance and conformal invariance of the boundary theories. We also investigate the higher-dimensional compactification, where the warping can generate additional possible violation of the conformal invariance. Our discussion is applicable in any dimension, and suggests a generalization of Zamolodchikov–Polchinski theorem that states the equivalence in (1+1) dimension from the purely field theory viewpoint.

Download Full-text

Holographic teleportation in higher dimensions

Journal of High Energy Physics ◽

10.1007/jhep07(2021)219 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Byoungjoon Ahn ◽

Yongjun Ahn ◽

Sang-Eon Bak ◽

Viktor Jahnke ◽

Keun-Young Kim

Keyword(s):

Energy Condition ◽

Eikonal Approximation ◽

Higher Dimensions ◽

Null Energy Condition ◽

Analytic Formula ◽

Conformal Field ◽

Traversable Wormholes ◽

Higher Dimensional ◽

Exterior Regions ◽

Ads Geometry

Abstract We study higher-dimensional traversable wormholes in the context of Rindler-AdS/CFT. The hyperbolic slicing of a pure AdS geometry can be thought of as a topological black hole that is dual to a conformal field theory in the hyperbolic space. The maximally extended geometry contains two exterior regions (the Rindler wedges of AdS) which are connected by a wormhole. We show that this wormhole can be made traversable by a double trace deformation that violates the average null energy condition (ANEC) in the bulk. We find an analytic formula for the ANEC violation that generalizes Gao-Jafferis-Wall result to higher-dimensional cases, and we show that the same result can be obtained using the eikonal approximation. We show that the bound on the amount of information that can be transferred through the wormhole quickly reduces as we increase the dimensionality of spacetime. We also compute a two-sided commutator that diagnoses traversability and show that, under certain conditions, the information that is transferred through the wormhole propagates with butterfly speed $$ {\upsilon}_B=\frac{1}{d-1} $$ υ B = 1 d − 1 .

Download Full-text

ANEC in λϕ4 theory

Journal of High Energy Physics ◽

10.1007/jhep01(2021)132 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Teresa Bautista ◽

Lorenzo Casarin ◽

Hadi Godazgar

Keyword(s):

Critical Points ◽

Energy Condition ◽

Null Energy Condition ◽

Renormalisation Group ◽

Quartic Coupling ◽

Third Order ◽

Expectation Value ◽

Scalar State

Abstract Motivated by the goal of applying the average null energy condition (ANEC) to renormalisation group flows, we calculate in λϕ4 theory the expectation value of the ANEC operator in a particular scalar state perturbatively up to third order in the quartic coupling and verify the expected CFT answer. The work provides the technical tools for studying the expectation value of the ANEC operator in more interesting states, for example tensorial states relevant to the Hofman-Maldacena collider bounds, away from critical points.

Download Full-text

Achronal averaged null energy condition for extremal horizons and (A)dS

Journal of High Energy Physics ◽

10.1007/jhep07(2020)023 ◽

2020 ◽

Vol 2020 (7) ◽

Cited By ~ 1

Author(s):

Felipe Rosso

Keyword(s):

Energy Condition ◽

Null Energy Condition

Download Full-text

Singularity Theorems in the Effective Field Theory for Quantum Gravity at Second Order in Curvature

Universe ◽

10.3390/universe6100171 ◽

2020 ◽

Vol 6 (10) ◽

pp. 171

Author(s):

Folkert Kuipers ◽

Xavier Calmet

Keyword(s):

Field Theory ◽

Quantum Gravity ◽

Effective Field Theory ◽

Energy Condition ◽

Null Energy Condition ◽

Effective Field ◽

Second Order ◽

Jordan Frame ◽

Singularity Theorems ◽

Massive Spin

In this paper, we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, the effective field theory contains two new degrees of freedom which have important implications for the derivation of these theorems: a massive spin-2 field and a massive spin-0 field. Using an explicit mapping of this theory from the Jordan frame to the Einstein frame, we show that the massive spin-2 field violates the null energy condition, while the massive spin-0 field satisfies the null energy condition, but may violate the strong energy condition. Due to this violation, classical singularity theorems are no longer applicable, indicating that singularities can be avoided, if the leading quantum corrections are taken into account.

Download Full-text