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We solve vacuum Einstein's field equations with the cosmological constant in space-times admitting 3-parameter group of isometries with 2-dimensional space-like orbits. The general exact solutions, which are represented in the advanced and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chih-Hung Wang , Hing-Tong Cho , Yu-Huei Wu

In the standard Einstein's theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a single function from which we obtain a metric into a four-dimensional space-time. In this…

General Relativity and Quantum Cosmology · Physics 2024-02-19 J. L. Hernández-Pastora

The cosmological constant problem is studied in a two component cosmological model. The universe contains a cosmological constant of an arbitrary size and sign and an additional component with an inhomogeneous equation of state. It is shown…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Hrvoje Stefancic

We construct new classes of cosmological solution to the five dimensional Einstein-Maxwell-dilaton theory, that are non-stationary and almost conformally regular everywhere. The base geometry for the solutions is the four-dimensional…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Bardia H. Fahim , Masoud Ghezelbash

We consider conformal and scale-invariant gravities in d dimensions, with a special focus on pure $R^2$ gravity in the scale-invariant case. In four dimensions, the structure of these theories is well known. However, in dimensions larger…

High Energy Physics - Theory · Physics 2025-06-24 Anamaria Hell , Dieter Lust

We present a model in which the cosmological constant emerges as a purely geometric effect from the four-dimensional compactification of five-dimensional Einstein-Chern-Simons gravity. The compactification of the extra dimension generates…

General Relativity and Quantum Cosmology · Physics 2026-04-03 M. Cataldo , S. Lepe , C. Riquelme , P. Salgado

We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope

We connect a possible solution for the ``cosmological constant problem'' to the existence of a (postulated) conformal fixed point in a fundamental theory. The resulting cosmology leads to quintessence, where the present acceleration of the…

High Energy Physics - Theory · Physics 2009-11-07 C. Wetterich

We analyse cosmological perturbations around a homogeneous and isotropic background for scalar-tensor, vector-tensor and bimetric theories of gravity. Building on previous results, we propose a unified view of the effective parameters of…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Macarena Lagos , Emilio Bellini , Johannes Noller , Pedro G. Ferreira , Tessa Baker

Accelerating universe or the existence of a small and positive cosmological constant is probably the most pressing obstacle as well as opportunity to significantly improving the models of four-dimensional cosmology from fundamental theories…

High Energy Physics - Theory · Physics 2009-10-23 Ishwaree P Neupane

The possibility of obtaining singularity free cosmological solutions in four dimensional effective actions motivated by string theory is investigated. In these effective actions, in addition to the Einstein-Hilbert term, the dilatonic and…

High Energy Physics - Theory · Physics 2009-11-07 J. C. Fabris , R. G. Furtado , Patrick Peter , N. Pinto-Neto

We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale…

High Energy Physics - Theory · Physics 2009-09-08 Hironobu Kihara , Muneto Nitta , Misao Sasaki , Chul-Moon Yoo , Ignacio Zaballa

We obtain an exact solution for the Einstein's equations with cosmological constant coupled to a scalar, static particle in static, "spherically" symmetric background in 2+1 dimensions.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Durmus Daghan , Ayse H. Bilge

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

In contrast to the phenomenon of nullification of the cosmological constant in the equilibrium vacuum, which is the general property of any quantum vacuum, there are many options in modifying the Einstein equation to allow the cosmological…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. E. Volovik

We study gravitational theories with a cosmological constant and the Gauss-Bonnet curvature squared term and analyze the possibility of de Sitter expanding spacetime with a constant internal space. We find that there are two branches of the…

High Energy Physics - Theory · Physics 2015-06-19 Kei-ichi Maeda , Nobuyoshi Ohta

A 5-dimensional Einstein spacetime with (non)vanishing cosmological constant is analyzed in detail. The metric is in close analogy with the 4-dimensional massless uncharged C-metric in many aspects. The coordinate system, horizons and…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Wei Xu , Liu Zhao , Bin Zhu

Interior solutions of Einstein's equations with a non-zero cosmological constant are given for static and spherically symmetric configurations of uniform density. The metric tensor and pressure are determined for both positive and negative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zdeněk Stuchlík

Cosmological solutions of the Brans-Dicke theory with an added cosmological constant are investigated with an emphasis to select a conformal frame in order to implement the scenario of a decaying cosmological constant, featuring an ever…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Yasunori Fujii

Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer