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The general stationary cylindrically symmetric solution of Einstein-massless scalar field system with a non-positive cosmological constant is presented. It is shown that the general solution is characterized by four integration constants.…

广义相对论与量子宇宙学 · 物理学 2015-09-02 Cristian Erices , Cristian Martinez

We review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, and beyond…

广义相对论与量子宇宙学 · 物理学 2021-07-28 Valerio Faraoni , Andrea Giusti , Bardia H. Fahim

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For…

广义相对论与量子宇宙学 · 物理学 2009-10-22 K. S. Virbhadra

We study the phase space of the spherically symmetric solutions of Einstein Gauss-Bonnet system nonminimally coupled to a scalar field and show that in four dimensions the only regular black hole solutions are asymptotically flat

广义相对论与量子宇宙学 · 物理学 2009-11-11 M. Melis , S. Mignemi

We study the static, spherically symmetric black hole solutions for a non-minimally coupled multi-scalar theory. We find numerical solutions for values of the scalar fields when a certain constraint on the maximal charge is satisfied.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ben M. Leith , Alex B. Nielsen

A longstanding issue is the classical equivalence between the Jordan and the Einstein frames, which is considered just a field redefinition of the metric tensor and the scalar field. In this work, based on the previous result that the…

广义相对论与量子宇宙学 · 物理学 2024-02-27 Gabriele Gionti S. J. , Matteo Galaverni

We study single-field slow-roll inflation embedded in Palatini $F(R)$ gravity where $F(R)$ grows faster than $R^2$. Surprisingly, the consistency of the theory requires the Jordan frame inflaton potential to be unbounded from below. Even…

广义相对论与量子宇宙学 · 物理学 2024-03-21 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

Whether Jordan's and Einstein's frame descriptions of F(R) theory of gravity are physically equivalent, is a long standing debate. However, practically none questioned on true mathematical equivalence, since classical field equations may be…

广义相对论与量子宇宙学 · 物理学 2017-08-02 Nayem Sk. , Abhik Kumar Sanyal

We study test-body orbits in the gravitational field of a static spherically symmetric object in presence of a minimally coupled nonlinear scalar field. We generated a two-parametric family of scalar field potentials, which allow finding…

广义相对论与量子宇宙学 · 物理学 2018-08-22 O. S. Stashko , V. I. Zhdanov

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 study the problem of asymptotically flat bi-axially symmetric stationary solutions of the vacuum Einstein equations in $5$-dimensional spacetime. In this setting, the cross section of any connected component of the event horizon is a…

广义相对论与量子宇宙学 · 物理学 2019-09-24 Marcus Khuri , Gilbert Weinstein , Sumio Yamada

In case of a spherically symmetric non-linear scalar field (SF) in flat space, besides singularity at the center, spherical singularities can occur for non-zero values of radial variable $r>0$. We show that in the General Relativity the…

广义相对论与量子宇宙学 · 物理学 2020-04-01 V. I. Zhdanov , O. S. Stashko

With a prescribed Coulomb-type energy-momentum tensor, an exact solution of the Einstein field equations over a nonsimply-connected manifold is presented. This spherically symmetric solution has neither curvature singularities nor closed…

广义相对论与量子宇宙学 · 物理学 2015-06-15 F. R. Klinkhamer

SNIA and CMB datasets have shown both of evolving Newton's "constant" and a signature of the coupling of scalar field to matter. These observations motivate the consideration of the scalar-matter coupling in Jordan frame in the framework of…

宇宙学与河外天体物理 · 物理学 2017-08-16 Jik Su Kim , Chol Jun Kim , Sin Chol Hwang , Yong Hae Ko

The Janis-Newman-Winicour spacetime corresponds to a static spherically symmetric solution of Einstein equations with the energy momentum tensor of a massless quintessence field. It is understood that the spacetime describes a naked…

广义相对论与量子宇宙学 · 物理学 2024-08-19 Changjun Gao , Jianhui Qiu

In this paper we analyze spherically symmetric static vacuum solutions with various topologies in mimetic gravity. When the Einstein's tensor is different from zero, a new class of solutions different from the Schwarzschild one emerges from…

广义相对论与量子宇宙学 · 物理学 2015-09-21 Ratbay Myrzakulov , Lorenzo Sebastiani

We discuss various novel features of $n(\ge 4)$-dimensional spacetimes sourced by a massless (non-)phantom scalar field in general relativity. Assuming that the metric is a warped product of static two-dimensional Lorentzian spacetime and…

广义相对论与量子宇宙学 · 物理学 2021-01-19 Cristian Martinez , Masato Nozawa

We revisit the analogy between a minimally coupled scalar field in general relativity and a perfect fluid, correcting previous identifications of effective temperature and chemical potential. This provides a useful complementary picture for…

广义相对论与量子宇宙学 · 物理学 2023-02-01 Valerio Faraoni , Serena Giardino , Andrea Giusti , Robert Vanderwee

In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Stoytcho Yazadjiev

This work conducts an in-depth exploration of exact electrically charged solutions, including traversable wormholes, black holes, and black bounces, within the framework of the scalar-tensor representation of hybrid metric-Palatini gravity…

广义相对论与量子宇宙学 · 物理学 2025-07-25 Gabriel I. Róis , José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues