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It has been shown that the 4-dimensional Einstein-Maxwell-dilaton theory allows a Bogomol'nyi-type inequality for an arbitrary dilaton coupling constant $\alpha $, and that the bound is saturated if and only if the (asymptotically flat)…

高能物理 - 理论 · 物理学 2011-08-17 Masato Nozawa

In this paper we study the motion of photons or massless particles in the C-metric with cosmological constant. The Hamilton--Jacobi equations are known to be completely separable, giving a Carter-like quantity $Q$ which is a constant of…

广义相对论与量子宇宙学 · 物理学 2021-01-07 Yen-Kheng Lim

Following a bi-cylindrical model of geometrical dynamics, in the present study we show that Einstein gravitational equation leads to bi-geodesic description in an extended symmetrical time-space which fit Hubble expansion in a "microscopic"…

综合物理 · 物理学 2016-05-13 Vo Van Thuan

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory of gravity (generalized HMPG) suggested by B\"ohmer and Tamanini, involving both a metric $g_{\mu\nu}$ and an…

广义相对论与量子宇宙学 · 物理学 2023-11-14 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

We obtain an explicit solution of the 5d Einstein equations in a dilaton background model. We demonstrate that for each metric ansatz that only depends on the extra coordinate, it is possible to uniquely determine the dilaton field and its…

高能物理 - 唯象学 · 物理学 2009-02-19 W. de Paula , T. Frederico , H. Forkel , M. Beyer

We obtain the general static solutions of the axially symmetric (2+1)-dimensional Einstein-Maxwell-Dilaton theory by dimensionally reducing it to a 2-dimensional dilaton gravity theory. The solutions consist of the magnetically charged…

高能物理 - 理论 · 物理学 2014-11-18 Dahl Park , Jae Kwan Kim

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

高能物理 - 理论 · 物理学 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

Equatorial circular geodesic orbits of neutral test particles in the exterior spacetime of a charged rotating disc of dust are analyzed in dependence of its specific charge and a relativity parameter. The charged rotating disc of dust is an…

广义相对论与量子宇宙学 · 物理学 2024-09-06 David Rumler

We present a new quantization scheme for $2D$ gravity coupled to an $SU(2)$ principal chiral field and a dilaton; this model represents a slightly simplified version of stationary axisymmetric quantum gravity. The analysis makes use of the…

高能物理 - 理论 · 物理学 2009-10-28 D. Korotkin , H. Nicolai

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

广义相对论与量子宇宙学 · 物理学 2011-11-28 Stefan Sjors , Edvard Mortsell

We report the discovered class of exact static solutions of several 4D Einstein-Maxwell-dilaton systems: string-induced, Liouville, trigonometric, polynomial, etc., for three basic topologies (spherical, hyperbolical and flat) being…

高能物理 - 理论 · 物理学 2009-11-07 Konstantin G. Zloshchastiev

Time-dependent analytic solutions of the Einstein-Skyrme system --gravitating Skyrmions--, with topological charge one are analyzed in detail. In particular, the question of whether these Skyrmions reach a spherically symmetric…

高能物理 - 理论 · 物理学 2017-04-26 Fabrizio Canfora , Andronikos Paliathanasis , Tim Taves , Jorge Zanelli

The disformal transformation of metric $g_{\mu \nu} \to \Omega^2 (\phi)g_{\mu \nu}+\Gamma(\phi,X) \partial_{\mu}\phi \partial_{\nu}\phi$, where $\phi$ is a scalar field with the kinetic energy $X= \partial_{\mu}\phi \partial^{\mu}\phi/2$,…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Shinji Tsujikawa

We will summarize recent results on the Hamiltonian equivalence between the Jordan and Einstein frames based on the analysis of Brans-Dicke theory for both cases \omega\neq -\frac{3}{2} and \omega =-\frac{3}{2}. We will introduce and…

广义相对论与量子宇宙学 · 物理学 2025-05-06 Gabriele Gionti , S. J.

Gravity coupled three--dimensional $\sigma$--model describing the stationary Einstein--Maxwell--dilaton system with general dilaton coupling is studied. Killing equations for the corresponding five--dimensional target space are integrated.…

高能物理 - 理论 · 物理学 2014-11-18 D. V. Gal'tsov , A. A. Garcia , O. V. Kechkin

We study static spherically and hyperbolically symmetric solutions of the Einstein equations in the presence of a conformally coupled scalar field and compare them with those in the space filled with a minimally coupled scalar field. We…

The exact axisymmetric and static solution of the Einstein equations coupled to axisymmetric and static gravitating scalar (or phantom) field is presented. The spacetimes modified by the scalar field are explicitly given for the so called…

广义相对论与量子宇宙学 · 物理学 2018-11-09 Bobur Turimov , Bobomurat Ahmedov , Martin Kološ , Zdeněk Stuchlík

We find new Melvin-like solutions in Einstein-Maxwell-dilaton gravity with a Liouville-type dilaton potential. The properties of the corresponding solution in Freedman-Schwarz gauged supergravity model are extensively studied. We show that…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Eugen Radu , Reinoud J. Slagter

We are interested in the geometry of the group $\mathcal{D}_q(M)$ of diffeomorphisms preserving a contact form $\theta$ on a manifold $M$. We define a Riemannian metric on $\mathcal{D}_q(M)$, compute the corresponding geodesic equation, and…

微分几何 · 数学 2013-02-21 David G. Ebin , Stephen C. Preston

We investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize thick disks around a rotating deformed compact object described by a stationary generalization of the static q-metric. The…

广义相对论与量子宇宙学 · 物理学 2025-02-14 Shokoufe Faraji , Audrey Trova , Hernando Quevedo