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A new exact renormalization group equation for the effective average action of Euclidean quantum gravity is constructed. It is formulated in terms of the component fields appearing in the transverse-traceless decomposition of the metric. It…

High Energy Physics - Theory · Physics 2009-11-07 O. Lauscher , M. Reuter

We conduct a preliminary investigation into the phenomenological implications of Einsteinian cubic gravity (ECG), a 4-dimensional theory of gravity cubic in curvature of interest for its unique formulation and properties. We find an…

General Relativity and Quantum Cosmology · Physics 2018-04-13 Robie A. Hennigar , Mohammad Bagher Jahani Poshteh , Robert B. Mann

A new approximation method for inverting the Poisson's equation is presented for a continuously distributed and finite-sized source in an unbound domain. The advantage of this image multipole method arises from its ability to place the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 James H. H. Chan , Tzihong Chiueh

A theorem of differential geometry is employed to locally embed a wide class of superstring backgrounds that admit a covariantly constant null Killing vector field in eleven-dimensional, Ricci-flat spaces. Included in this class are exact…

High Energy Physics - Theory · Physics 2009-10-31 James E. Lidsey

This paper presents a fast and simple new 2-approximation algorithm for minimum weighted vertex cover. The unweighted version of this algorithm is equivalent to a well-known greedy maximal independent set algorithm. We prove that this…

Data Structures and Algorithms · Computer Science 2022-09-13 Nate Veldt

We study self-consistent cosmological solutions for an Einstein Universe in a graph-based induced gravity model. The graph-based field theory has been proposed by the present authors to generalize dimensional deconstruction. In this paper,…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Nahomi Kan , Kiyoshi Shiraishi

We describe a simple technique for generating solutions to the classical field equations for an arbitrary nonlinear sigma-model minimally coupled to gravity. The technique promotes an arbitrary solution to the coupled Einstein/Klein-Gordon…

High Energy Physics - Theory · Physics 2023-08-24 Philippe Brax , C. P. Burgess , F. Quevedo

We investigate the asymptotic stability of solutions to the characteristic initial value problem for the Einstein (massless) scalar field system with a positive cosmological constant. We prescribe spherically symmetric initial data on a…

General Relativity and Quantum Cosmology · Physics 2022-12-26 João L. Costa , Rodrigo Duarte , Filipe C. Mena

This work is focused in the study of analytic anisotropic solutions to Einstein's field equations, describing spherically symmetric and static configurations by way of the gravitational decoupling through the method of Minimal Geometric…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Milko Estrada , Francisco Tello-Ortiz

We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Roberto V. Maluf , Gerardo Mora-Pérez , Gonzalo J. Olmo , Diego Rubiera-Garcia

In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory in dimension $D=4+p$, being $p\geq1$. The compactification is performed on a…

High Energy Physics - Theory · Physics 2021-08-18 Fabrizio Canfora , Adolfo Cisterna , Sebastian Fuenzalida , Carla Henriquez-Baez , Julio Oliva

Due to an extremely rugged structure of the free energy landscape, the determination of spin-glass ground states is among the hardest known optimization problems, found to be NP-hard in the most general case. Owing to the specific structure…

Disordered Systems and Neural Networks · Physics 2011-11-10 Martin Weigel

This paper is the first part of a trilogy dedicated to the following problem: given spherically symmetric characteristic initial data for the Einstein-Maxwell-scalar field system with a cosmological constant $\Lambda$, with the data on the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 João L. Costa , Pedro M. Girão , José Natário , Jorge Drumond Silva

Generic relevant deformations of Einstein's gravity theory contain additional degrees of freedom that have a multi-facetted stabilization dynamics on curved spacetimes. We show that these relevant degrees of freedom are self-protected…

High Energy Physics - Theory · Physics 2011-05-23 Felix Berkhahn , Dennis D. Dietrich , Stefan Hofmann

We address the questions of conservation and integrability of the charges in two and three-dimensional gravity theories at infinity. The analysis is performed in a framework that allows us to treat simultaneously asymptotically locally AdS…

High Energy Physics - Theory · Physics 2021-04-28 Romain Ruzziconi , Céline Zwikel

In this work, we face the problem of unsupervised domain adaptation with a novel deep learning approach which leverages on our finding that entropy minimization is induced by the optimal alignment of second order statistics between source…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Pietro Morerio , Jacopo Cavazza , Vittorio Murino

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

High Energy Physics - Theory · Physics 2023-03-29 Qi-Yuan Mao , H. Lu

The gravitational asymptotic safety program envisions a high-energy completion of gravity based on a non-Gaussian renormalization group fixed point. A key step in this program is the transition from Euclidean to Lorentzian signature…

High Energy Physics - Theory · Physics 2023-06-21 Frank Saueressig , Jian Wang

Although cosmological solutions to Einstein's equations are known to be generically singular, little is known about the nature of singularities in typical spacetimes. It is shown here how the operator splitting used in a particular…

General Relativity and Quantum Cosmology · Physics 2009-10-22 B. K. Berger , V. Moncrief

This article, written to appear as a chapter in "The Springer Handbook of Spacetime", is a review of the initial value problem for Einstein's gravitational field theory in general relativity. Designed to be accessible to graduate students…

General Relativity and Quantum Cosmology · Physics 2015-06-15 James Isenberg