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We find a correspondence between semiclassical QCD quantized on the light-front and a dual gravity model in anti--de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondence --…

High Energy Physics - Phenomenology · Physics 2015-05-18 Guy F. de Teramond , Stanley J. Brodsky

Starting from the multiplicative torsion approach of gravity and assuming a Killing vector to be proportional to the axial-vector matter current, here we derive Newton's law of gravity where the logarithm of the proportionality factor has…

General Relativity and Quantum Cosmology · Physics 2011-02-23 Prasanta Mahato

Given an initial-boundary value problem for an anti-de Sitter-like spacetime, we analyse conditions on the conformal boundary ensuring the existence of Killing vectors in the spacetime arising from this problem. This analysis makes use of a…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Diego A. Carranza , Juan A. Valiente Kroon

It has recently been shown that, in the vicinity of their event horizons, black holes exhibit an infinite-dimensional symmetry. This symmetry captures relevant physical information about the black hole, and in particular about its…

High Energy Physics - Theory · Physics 2019-09-04 Laura Donnay , Gaston Giribet

The two-dimensional effective Polyakov action is often realized as the anomalous contributions of string theories and fermions coupled to gravity in two-dimensions. However, as a result of the reparameterization invariance, one finds that…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Eric Biedke , Salvatore Quaid , Vincent Rodgers

We investigate conserved charges in the low-energy effective field theory describing heterotic string theory. Starting with a general Lagrangian that consists of a metric, a scalar field, a vector gauge field, together with a two-form…

General Relativity and Quantum Cosmology · Physics 2016-04-25 Jun-Jin Peng

The requirement that a trapped spacetime domain forms in finite time for distant observers is logically possible and sometimes unavoidable, but its consequences are not yet fully understood. In spherical symmetry, the characterization of…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Daniel R. Terno

We construct stationary non-equilibrium black funnels locally asymptotic to global AdS4 in vacuum Einstein-Hilbert gravity with negative cosmological constant. These are non-compactly-generated black holes in which a single connected bulk…

High Energy Physics - Theory · Physics 2013-03-07 Sebastian Fischetti , Donald Marolf , Jorge E. Santos

We prove that any compact Cauchy horizon with constant non-zero surface gravity in a smooth vacuum spacetime is a smooth Killing horizon. The novelty here is that the Killing vector field is shown to exist on both sides of the horizon. This…

Analysis of PDEs · Mathematics 2021-11-01 Oliver Lindblad Petersen

We construct a class of stationary, axisymmetric, horizonless spacetimes whose curvature is generated entirely by smooth, localised differential rotation $\Omega(r)$, while the spatial geometry remains exactly flat. Despite vanishing ADM…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Francisco S. N. Lobo , Tiberiu Harko

The work describes the method of construction of charges (conserved quantities) for the gravity field in the (3 + 1) decomposition. The presented construction uses tensors of the electrical and magnetic parts of the Weyl tensor and…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Jacek Jezierski , Szymon Migacz

The Bel tensor is divergence-free in some important cases leading to the existence of conserved currents associated to Killing vectors analogously to those of the energy-momentum tensor. When the divergence of the Bel tensor does not vanish…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ruth Lazkoz , Jose M M Senovilla , Raul Vera

We investigate the charged Vaidya spacetime with conformal symmetry by classifying the horizons and finding its connection to Hawking temperature. We find a conformal Killing vector whose existence requires the mass and electric charge…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Seoktae Koh , Miok Park , Abbas M. Sherif

We present a new family of regular black holes (RBH) in Pure Lovelock gravity, where the energy density is determined by the gravitational vacuum tension, which varies for each value of $n$ in each Lovelock case. Speculatively, our model…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Milko Estrada , Rodrigo Aros

This article attempts to delineate the roles played by non-dynamical background structures and Killing symmetries in the construction of stress-energy-momentum tensors generated from a diffeomorphism invariant action density. An intrinsic…

Classical Physics · Physics 2012-08-01 Jonathan Gratus , Yuri N. Obukhov , Robin W. Tucker

In any generally covariant theory of gravity, we show the relationship between the linearized asymptotically conserved current and its non-linear completion through the identically conserved current. Our formulation for conserved charges is…

High Energy Physics - Theory · Physics 2014-07-10 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation functions which exhibit novel behavior…

High Energy Physics - Theory · Physics 2010-04-06 Shamit Kachru , Xiao Liu , Michael Mulligan

The Hamiltonian constraint Hc = NH = 0, defines a diffeomorphic structure on spatial manifolds by the lapse function N in general theory of relativity. However, it is not manifest in Lanczos-Lovelock gravity, since the expression for…

High Energy Physics - Theory · Physics 2016-06-14 Soumendranath Ruz , Ranajit Mandal , Subhra Debnath , Abhik Kumar Sanyal

We employ the Noether procedure to derive a general formula for the radially conserved heat current in AdS planar black holes with certain transverse and traceless perturbations, for a general class of gravity theories. For Einstein…

High Energy Physics - Theory · Physics 2017-10-25 Hai-Shan Liu , H. Lu , C. N. Pope

Scalar, vector and tensor conserved quantities are essential tools in solving different problems in physics and complex, nonlinear differential equations in mathematics. In many guises they enter our understanding of nature: charge, lepton,…

Mathematical Physics · Physics 2023-05-09 Davide Batic , Marek Nowakowski , Aya Mohammad Abdelhaq