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In this work we compile a few differential equations (ODEs) that arise from the relativistic equations in cosmological models that consider the ``constants'' as scalars functions dependent on time and they are described as perfect as well…

广义相对论与量子宇宙学 · 物理学 2009-11-10 José Antonio Belinchón , P. Dávila

We present self-similar cosmological solutions for a barotropic fluid plus scalar field with Brans-Dicke-type coupling to the spacetime curvature and an arbitrary power-law potential energy. We identify all the fixed points in the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Damien J. Holden , David Wands

We study cosmological perturbation theory in the cosmology associated with conformal gravity, establish the validity of the decomposition theorem for it, and then use the theorem to provide an exact solution to the theory in the…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Philip D. Mannheim

In this paper we develop a plane wave type method for discretization of homogeneous Helmholtz equations with variable wave numbers. In the proposed method, local basis functions (on each element) are constructed by the geometric optics…

数值分析 · 数学 2021-07-22 Qiya Hu , Zezhong Wang

This paper presents the linearised Boltzmann equation for photons for scalar, vector and tensor perturbations in flat, open and closed FLRW cosmologies. We show that E- and B-mode polarisation for all types can be computed using only a…

宇宙学与河外天体物理 · 物理学 2015-06-15 Thomas Tram , Julien Lesgourgues

We study the most general cosmological model with real scalar field which is minimally coupled to gravity. Our calculations are based on Friedmann-Lemaitre-Robertson-Walker (FLRW) background metric. Field equations consist of three…

广义相对论与量子宇宙学 · 物理学 2023-03-22 Medine Ildes , Metin Arik

Observations suggest that our universe is spatially flat on the largest observable scales. Exactly six different compact orientable three-dimensional manifolds admit flat metrics. These six manifolds are therefore the most natural choices…

广义相对论与量子宇宙学 · 物理学 2019-12-16 Zhi-Peng Peng , Lee Lindblom , Fan Zhang

We analyze the cosmology of a general Scalar-Tensor theory which encompasses generalized Brans-Dicke theory, Gauss-Bonnet gravity, non-minimal derivative gravity, generalized Galileon gravity and also the general k-essence type models.…

广义相对论与量子宇宙学 · 物理学 2017-03-07 Erfan Masaeli , Meysam Motaharfar , Hamid Reza Sepangi

In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be…

流体动力学 · 物理学 2014-04-14 Ivan C. Christov

The present work deals with Einstein-aether Scalar tensor gravity in the background of homogeneous and isotropic flat FLRW space-time model. The Noether symmetry vector identifies a transformation in the augmented space so that the field…

广义相对论与量子宇宙学 · 物理学 2024-07-12 Dipanakr Laya , Roshni Bhaumik , Sourav Dutta , Subenoy Chakraborty

A cosmological model is formulated in the context of a scalar-tensor theory of gravity in which the entire cosmic background evolution is due to a complex scalar field evolving in Minkowski spacetime, such that its (dimensional) modulus is…

综合物理 · 物理学 2019-09-24 Meir Shimon

We obtain expressions for the vacuum expectations of the energy-momentum tensor of the scalar field with an arbitrary coupling to the curvature in an N-dimensional homogeneous isotropic space for the vacuum determined by diagonalization of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yu. V. Pavlov

We review a system of autonomous differential equations developed in our previous work [1] describing a flat cosmology filled with a barotropic fluid and a scalar field with a modified kinetic term of the form L=F(X)-V(phi). We analyze the…

广义相对论与量子宇宙学 · 物理学 2014-04-04 Josue De-Santiago , Jorge L. Cervantes-Cota

Solutions of gravitational equations of gauge theories of gravity in homogeneous isotropic world with massive scalar field are investigated in the case of flat cosmological models. Special attention is dedicated to general behavior of…

天体物理学 · 物理学 2009-11-07 G. V. Vereshchagin

Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Vratko Polák , Vladimír Balek

We study the solutions of the wave equation where a massless scalar field is coupled to the Wahlquist metric, a type-D solution. We first take the full metric and then write simplifications of the metric by taking some of the constants in…

广义相对论与量子宇宙学 · 物理学 2021-05-07 T. Birkandan , M. Hortacsu

In dark-energy models where a scalar field is nonminimally coupled to the spacetime geometry, gravitational waves are expected to be supplemented with a scalar mode. Such scalar waves may interact with the standard tensor waves, thereby…

广义相对论与量子宇宙学 · 物理学 2022-05-12 Charles Dalang , Pierre Fleury , Lucas Lombriser

We study the existence of traveling wave solutions to a unidirectional shallow water model which incorporates the full linear dispersion relation for both gravitational and capillary restoring forces. Using functional analytic techniques,…

偏微分方程分析 · 数学 2018-07-31 Mathew A. Johnson , J. Douglas Wright

Gravitational waves perturb the paths of photons, impacting both the time-of-flight and the arrival direction of light from stars. Pulsar timing arrays can detect gravitational waves by measuring the variations in the time of flight of…

广义相对论与量子宇宙学 · 物理学 2018-07-18 Logan O'Beirne , Neil J. Cornish

We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly…

广义相对论与量子宇宙学 · 物理学 2011-11-28 Maarten van de Meent