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We study integrability by quadrature of a spatially flat Friedmann model containing both a minimally coupled scalar field $\phi$ with an exponential potential $V(\phi)\sim\exp[-\sqrt{6}\sigma\kappa\phi]$, $\kappa=\sqrt{8\pi G_N}$, of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. Dehnen , V. R. Gavrilov , V. N. Melnikov

We consider an Einstein-scalar field model which is a consistent truncation of ${\cal N}=8$ $D=4$ gauged supergravity, the scalar field possessing a potential which is unbounded from below and a tachyonic mass above the…

高能物理 - 理论 · 物理学 2023-04-12 Dumitru Astefanesei , Hyat Huang , Jutta Kunz , Eugen Radu

We study a general field theory of a scalar field coupled to gravity through a quadratic Gauss-Bonnet term $\xi(\phi) R^2_{GB}$. The coupling function has the form $\xi(\phi)=\phi^n$, where $n$ is a positive integer. In the absence of the…

广义相对论与量子宇宙学 · 物理学 2016-08-25 P. Kanti , J. Rizos , K. Tamvakis

The problem of the quantum modes of the scalar free field on anti-de Sitter backgrounds with an arbitrary number of space dimensions is considered. It is shown that this problem can be solved by using the same quantum numbers as those of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ion I. Cotăescu

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through…

广义相对论与量子宇宙学 · 物理学 2010-09-06 Genly Leon , Pavel Silveira , Carlos R. Fadragas

We study the exact solution of Einstein's field equations consisting of a ($n+2$)-dimensional static and hyperplane symmetric thick slice of matter, with constant and positive energy density $\rho$ and thickness $d$, surrounded by two…

广义相对论与量子宇宙学 · 物理学 2012-08-21 Ricardo E. Gamboa Saravi

We consider both the defocusing and focusing cubic nonlinear Klein--Gordon equations $$ u_{tt} - \Delta u + u \pm u^3 =0 $$ in two space dimensions for real-valued initial data $u(0)\in H^1_x$ and $u_t(0)\in L^2_x$. We show that in the…

偏微分方程分析 · 数学 2010-08-17 Rowan Killip , Betsy Stovall , Monica Visan

We consider a real, massive scalar field both on the $n$-dimensional anti--de Sitter (AdS$_n$) spacetime and on its universal cover CAdS$_n$. In the second scenario, we extend the recent analysis on PAdS$_n$, the Poincar\'e patch of…

高能物理 - 理论 · 物理学 2018-07-18 Claudio Dappiaggi , Hugo Ferreira , Alessio Marta

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

广义相对论与量子宇宙学 · 物理学 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

We consider $N=1$ supergravity coupled to a Wess-Zumino multiplet with a potential such that the resulting AdS energies saturate the unitarity and Breitenlohner-Freedman bounds, respectively. Imposing regular boundary conditions that…

高能物理 - 理论 · 物理学 2024-09-06 Henning Samtleben , Ergin Sezgin

A new prescription to calculate the total energies and angular momenta of asymptotically $(d+1)$-dimensional anti-de Sitter spacetimes is proposed. The method is based on an extension of the field theoretical approach to General Relativity…

广义相对论与量子宇宙学 · 物理学 2016-08-15 N. Pinto-Neto , R. Rodrigues da Silva

For self-gravitating, static, spherically symmetric, minimally coupled scalar fields with arbitrary potentials and negative kinetic energy (favored by the cosmological observations), we give a classification of possible regular solutions to…

广义相对论与量子宇宙学 · 物理学 2009-11-11 K. A. Bronnikov , J. C. Fabris

In this article we study self-gravitating static solutions of the Einstein-ScalarField system in arbitrary dimensions. We discuss the existence and the non-existence of geodesically complete solutions depending on the form of the scalar…

广义相对论与量子宇宙学 · 物理学 2016-02-02 Martin Reiris

There is a chance that singleton fields, that in the context of strings and membranes have been regarded as topological gauge fields that can interact only at the boundary of anti-De Sitter space, at spatial infinity, may have a more…

高能物理 - 理论 · 物理学 2007-05-23 Moshe Flato , Christian Fronsdal

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

广义相对论与量子宇宙学 · 物理学 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

Family of exact spacetimes of D=3 Einstein gravity interacting with massless scalar field is obtained by suitable dimensional reduction of a class of D=4 plane-symmetric Einstein vacua. These D=3 spacetimes describe collisions of…

广义相对论与量子宇宙学 · 物理学 2016-08-14 C. Klimčík , P. Kolník

We solve Klein-Gordon equation for massless scalars on d+1 dimensional Minkowski (Euclidean) space in terms of the Cauchy data on the hypersurface t=0. By inserting the solution into the action of massless scalars in Minkowski (Euclidean)…

高能物理 - 理论 · 物理学 2009-11-10 Farhang Loran

We study the phase space analysis of a nonminimally coupled scalar field model with different potentials such as KKLT, Higgs, inverse and inverse square. Our investigation brings new asymptotic regimes, and obtains stable de-Sitter…

广义相对论与量子宇宙学 · 物理学 2021-04-27 M. Shahalam , Shynaray Myrzakul

Weak field approximate solutions in the Lambda-->0 limit of a model of de Sitter gravity have been presented in the static and spherically symmetric case. Although the model looks different from general relativity, among those solutions,…

广义相对论与量子宇宙学 · 物理学 2013-02-19 Jia-An Lu , Chao-Guang Huang

The d'Alembertian $\Box\phi=0$ has solution $\phi=f(v)/r$, where $f$ is a function of a null coordinate $v$, and this allows creation of a divergent singularity out of nothing. In scalar-Einstein theory a similar situation arises both for…

广义相对论与量子宇宙学 · 物理学 2017-03-16 Mark D. Roberts