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In d+1 dimensions we solve the equations of motion for the case of gravity minimally or conformally coupled to a scalar field. For the minimally coupled system the equations can either be solved directly or by transforming vacuum solutions,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ingunn Kathrine Wehus , Finn Ravndal

In their original study of conformal gravity, a candidate alternate gravitational theory, Mannheim and Kazanas showed that in any empty vacuum region exterior to a localized static spherically symmetric gravitational source, the geometry…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Philip D. Mannheim

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Thomas P. Sotiriou

Some exact static solutions for Einstein gravity in 2+1 dimensions coupled to abelian gauge field are discussed. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and…

高能物理 - 理论 · 物理学 2009-10-22 Ian I. Kogan

Static, spherically symmetric configurations of gravity with nonminimally coupled scalar fields are considered in D-dimensional space-times in the framework of generalized scalar-tensor theories. We seek special cases when the system has no…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Kirill A. Bronnikov

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

广义相对论与量子宇宙学 · 物理学 2021-06-07 Pedro G. S. Fernandes

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

广义相对论与量子宇宙学 · 物理学 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos

A general geometrical scheme is presented for the construction of novel classical gravity theories whose solutions obey two-sided bounds on the sectional curvatures along certain subvarieties of the Grassmannian of two-planes. The…

高能物理 - 理论 · 物理学 2007-05-23 Frederic P. Schuller , Mattias N. R. Wohlfarth

We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical…

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

The coupling of gravity to a scalar field raises a number of interesting questions of principle since the usual minimal coupling obtained by replacing ordinary derivatives with covariant derivatives is not available -- they are the same…

广义相对论与量子宇宙学 · 物理学 2011-10-26 Y. N. Srivastava , J. Swain , A. Widom

This paper aims to show the possibility of the existence of super-massive compact objects with radii less than the Schwarzschild one, which is one of the principal consequences of the author's geodesic-invariant gravitation equations (Ann.…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Leonid Verozub

A class of solutions in $d$-dimensional Einstein gravity minimally coupled to a massless scalar field is studied, where the spacetime metric is of a generalized Weyl form with $d-2$ commuting Killing vectors. In addition to the procedure to…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Yen-Kheng Lim

We consider f(R) gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential. When the scalar field backreacts to the metric we find at large distances scalarized Schwarzschild-AdS and…

广义相对论与量子宇宙学 · 物理学 2021-09-15 Zi-Yu Tang , Bin Wang , Thanasis Karakasis , Eleftherios Papantonopoulos

We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless…

高能物理 - 理论 · 物理学 2016-04-25 Atalay Karasu , Esin Kenar , Bayram Tekin

Recently, an extension of teleparallelism to a Weyl geometry which allows us to easily establish conformal invariance and "geometrize" electromagnetism has been presented. In this paper, I extend a result which concerns the existence of the…

广义相对论与量子宇宙学 · 物理学 2014-01-30 J. B. Formiga

An extension of the theory of General Relativity is proposed, based on pseudo-complex space-time coordinates. The new theory corresponds to the introduction of two, in general different, metrics which are connected through specific…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Peter O. Hess , Walter Greiner

Conformally-invariant and pure, scale-invariant theories of gravity are particularly interesting in four or higher dimensions. Yet, in contrast to their four-dimensional counterparts, theories in higher dimensions are significantly more…

高能物理 - 理论 · 物理学 2026-04-16 Anamaria Hell , Dieter Lust

We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular…

高能物理 - 理论 · 物理学 2020-08-26 Shin'ichi Nojiri , Sergei D. Odintsov

We study a gravity theory where a scalar field with potential, beyond its minimal coupling, is also coupled through a non-minimal derivative coupling with the torsion scalar which is the teleparallel equivalent of Einstein gravity. This…

高能物理 - 理论 · 物理学 2015-10-14 Georgios Kofinas

$\tilde{\delta}$ Gravity is a gravitational field model, where the geometry is governed by two symmetric tensors, $g_{\mu \nu}$ and $\tilde{g}_{\mu \nu}$, and new matter fields ($\tilde{\delta}$ Matter fields) are added to the original…

广义相对论与量子宇宙学 · 物理学 2017-12-08 Jorge Alfaro , Pablo González
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