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Spherically symmetric, time-periodic oscillatons -- solutions of the Einstein-Klein-Gordon system (a massive scalar field coupled to gravity) with a spatially localized core -- are investigated by very precise numerical techniques based on…

General Relativity and Quantum Cosmology · Physics 2015-05-28 P. Grandclement , G. Fodor , P. Forgacs

A semiclassical two-dimensional dilaton-gravity model is obtained by dimensional reduction of the spherically symmetric five-dimensional Einstein equations and used to investigate black hole evaporation. It is shown that this model prevents…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a…

General Relativity and Quantum Cosmology · Physics 2012-01-05 S. Habib Mazharimousavi , M. Halilsoy , T. Tahamtan

Gauge invariant treatments of the second order cosmological perturbation in a four dimensional homogeneous isotropic universe filled with the perfect fluid are completely formulated without any gauge fixing. We derive all components of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Kouji Nakamura

The non-linear superposition of the stationary euclidon solution with an arbitrary axially symmetric stationary gravitational field on the basis of the method of variation of parameters was constructed. Stationary soliton solution of the…

General Physics · Physics 2026-01-16 Aleksandr A. Shaideman , Kirill V. Golubnichiy

This paper contains results obtained as solutions of the Unified Field Theory equations. It yields space nonlinear oscillations, a quartet of gravitational forces, quintessence, and replaces Einstein's Cosmological Constant by an invariant…

General Physics · Physics 2009-11-07 Behram N. Kursunoglu

We construct one-parameter families of solutions to the Einstein--Klein--Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Otis Chodosh , Yakov Shlapentokh-Rothman

We compute the evolution of cosmological perturbations in a recently proposed Weyl-symmetric theory of two scalar fields with oppositely-signed conformal couplings to Einstein gravity. It is motivated from the minimal conformal extension of…

High Energy Physics - Theory · Physics 2014-10-08 Marius Oltean , Robert Brandenberger

In this work, we present a method of generating a class of nonlinear ordinary differential equations (ODEs), representing the dynamics of appropriate nonlinear oscillators, that have the characteristics of either amplitude independent…

Exactly Solvable and Integrable Systems · Physics 2022-04-12 J. Ramya Parkavi , R. Mohanasubha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

In the context of a special class of tensor-multi-scalar theories of gravity for which the target-space metric admits an isometry under which the theory is invariant, we present rotating vacuum solutions, namely with no matter fields. These…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

The long-time asymptotics is analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated at a point. Our main result is that each finite energy…

Analysis of PDEs · Mathematics 2007-05-23 Alexander Komech , Andrew Komech

The Euler-Lagrange equations for some class of gravitational actions are calculated by means of Palatini principle. Polynomial structures with Einstein metrics appear among extremals of this variational problem.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Borowiec

Using our anholonomic frame deformation method, we show how generic off-diagonal cosmological solutions depending, in general, on all spacetime coordinates and undergoing a phase of ultra-slow contraction can be constructed in massive…

High Energy Physics - Theory · Physics 2017-06-05 Sergiu I. Vacaru

Oscillons are massive, long-lived, localized excitations of a scalar field. We show that in a large class of well-motivated single-field models, inflation is followed by self-resonance, leading to copious oscillon generation and a lengthy…

Cosmology and Nongalactic Astrophysics · Physics 2012-08-09 Mustafa A. Amin , Richard Easther , Hal Finkel , Raphael Flauger , Mark P. Hertzberg

We summarize some our recent results on encoding exact solutions of field equations in Einstein and modified gravity theories into solitonic hierarchies derived for nonholonomic curve flows with associated bi-Hamilton structure. We argue…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Sergiu I. Vacaru

Oscillons are long-lived nonlinear pseudo-solitonic configurations of scalar fields and many plausible inflationary scenarios predict an oscillon-dominated phase in the early universe. Many possible aspects of this phase remain unexplored,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-03 Angela Xue , Kyle Chen , Baylee Verzyde , Peter Hayman , Richard Easther

We compute the spectrum of scalar models with a general coupling to the scalar curvature. We find that the perturbative states of these theories are given by two massive spin-0 modes in addition to one massless spin-2 state. This latter…

General Relativity and Quantum Cosmology · Physics 2020-02-12 Ismael Ayuso , Jose A. R. Cembranos

We discuss Einstein-Klein-Gordon system in an environment of an infinite number of scalar fields leading to an external thermal noise. In the lowest order of metric and field perturbations the quadratic fluctuations consist of a sum of…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Z. Haba

We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has…

High Energy Physics - Theory · Physics 2022-02-09 Yuan Zhong

Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold are investigated under dimensional reduction. In the Einstein conformal frame, small excitations of the scale factors of the internal spaces…

General Relativity and Quantum Cosmology · Physics 2011-09-09 U. Guenther , A. Zhuk
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