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Related papers: Remarks on harmonic maps, solitons, and dilaton gr…

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We construct exact static, axisymmetric solutions of Einstein-Maxwell-dilaton gravity presenting distorted charged dilaton black holes. The thermodynamics of such distorted black holes is also discussed.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Stoytcho S. Yazadjiev

We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that…

Differential Geometry · Mathematics 2024-07-16 Volker Branding

Noticing that the space of the solutions of a first order Hamiltonian field theory has a pre-symplectic structure, we describe a class of conserved charges on it associated to the momentum map determined by any symmetry group of…

Mathematical Physics · Physics 2022-06-23 Florio M. Ciaglia , Fabio Di Cosmo , Alberto Ibort , Giuseppe Marmo , Luca Schiavone , Alessandro Zampini

Several gravitational string backgrounds can be interpreted as 2-dim soliton solutions of reduced axion-dilaton gravity. They include black-hole and worm-hole solutions as well as cosmological models with an exact conformal field theory…

High Energy Physics - Theory · Physics 2007-05-23 I. Bakas

In this paper, we base on the formalism of Symbolic Gauge Theory in the case of General relativity; we calculate the Feynman diagrams for the interaction between harmonic gravitational connections in the topological field theory. These…

High Energy Physics - Theory · Physics 2017-09-06 Elias Koorambas , Germano Resconi

This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on massive scalar fields. We obtain an exact solution of the Klein-Gordon equation in this spacetime, which…

General Relativity and Quantum Cosmology · Physics 2014-01-24 V. B. Bezerra , H. S. Vieira , André A. Costa

We propose a Symmetry Topological Field Theory (SymTFT) for continuous spacetime symmetries. For a $d$-dimensional theory, it is given by a $(d+1)$-dimensional BF-theory for the spacetime symmetry group, and whenever $d$ is even, it can…

High Energy Physics - Theory · Physics 2025-09-15 Fabio Apruzzi , Nicola Dondi , Iñaki García Etxebarria , Ho Tat Lam , Sakura Schafer-Nameki

Charged massive scalar fields are studied in the gravitational, electromagnetic, dilaton, and axion fields of rotating linear dilaton black holes. In this geometry, we separate the covariant Klein-Gordon equation into radial and angular…

General Relativity and Quantum Cosmology · Physics 2017-09-07 I. Sakalli

We compute the evolution of cosmological perturbations in a recently proposed Weyl-symmetric theory of two scalar fields with oppositely-signed conformal couplings to Einstein gravity. It is motivated from the minimal conformal extension of…

High Energy Physics - Theory · Physics 2014-10-08 Marius Oltean , Robert Brandenberger

We show that given a harmonic map $\varphi$ from a Riemann surface to a classical compact simply connected inner symmetric space, there is a $J_2$-holomorphic twistor lift of $\varphi$ (or its negative) if and only if it is nilconformal. In…

Differential Geometry · Mathematics 2013-11-26 Martin Svensson , John C. Wood

We consider harmonic maps on simply connected Riemann surfaces into the group $\mathrm{U}(n)$ of unitary matrices of order $n$. It is known that a harmonic map with an associated algebraic extended solution can be deformed into a new…

Functional Analysis · Mathematics 2017-02-22 Alexandru Aleman , María J. Martín , Anna-Maria Persson , Martin Svensson

New features of the generalized symmetries of generic two-dimensional dilaton models of gravity are presented and invariant gravity-matter couplings are introduced. We show that there is a continuum set of Noether symmetries, which contains…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

A general homogeneous two dimensional dilaton gravity model considered recently by Lemos and S\` a, is given quantum matter Polyakov corrections and is solved numerically for several static, equilibrium scenarii. Classically the dilaton…

High Energy Physics - Theory · Physics 2014-11-18 Justin Hayward

Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz. The problem reduces to solving a set of ordinary differential equations for the appropriate profile functions. In…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Betti Hartmann , Theodora Ioannidou , Wojtek J. Zakrzewski

We study a renormalizable, general theory of dilatonic gravity (with a kinetic-like term for the dilaton) interacting with scalar matter near two dimensions. The one-loop effective action and the beta functions for this general theory are…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

Recently, models of two-dimensional dilaton gravity have been shown to admit classical black-hole solutions that exhibit Hawking radiation at the semi-classical level. These classical and semi-classical analyses have been performed in…

High Energy Physics - Theory · Physics 2010-11-01 Xiang Shen

Regarding the wide applications of dilaton gravity in the presence of electrodynamics, we introduce a suitable Lagrangian for the coupling of dilaton with gauge field. There are various Lagrangians which show the coupling between scalar…

General Relativity and Quantum Cosmology · Physics 2016-12-23 S. H. Hendi , M. S. Talezadeh

This is the continuation of an earlier work where Godel-type metrics were defined and used for producing new solutions in various dimensions. Here a simplifying technical assumption is relaxed which, among other things, basically amounts to…

High Energy Physics - Theory · Physics 2009-11-11 Metin Gurses , Ozgur Sarioglu

In a previous paper with Gibbons [CMP 120 (1987) 295] we derived a list of three dimensional symmetric space $\sigma$-model obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Breitenlohner , Dieter Maison