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We formulate the two-dimensional gravity-capillary water wave equations in a spatially quasi-periodic setting and present a numerical study of solutions of the initial value problem. We propose a Fourier pseudo-spectral discretization of…

流体动力学 · 物理学 2021-05-05 Jon Wilkening , Xinyu Zhao

We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time…

偏微分方程分析 · 数学 2012-03-15 Inwon Kim , Antoine Mellet

We propose a new model of modified $F(R)$ gravity theory with the function $F(R) = (1/\beta) \arcsin(\beta R)$. Constant curvature solutions corresponding to the flat and de Sitter spacetime are obtained. The Jordan and Einstein frames are…

综合物理 · 物理学 2015-07-24 S. I. Kruglov

In this article we study the hydrostatic equilibrium configuration of neutron stars (NSs) and strange stars (SSs), whose fluid pressure is computed from the equations of state $p=\omega\rho^{5/3}$ and $p=0.28(\rho-4{\cal B})$, respectively,…

广义相对论与量子宇宙学 · 物理学 2018-08-17 P. H. R. S. Moraes , J. D. V. Arbañil , G. A. Carvalho , R. V. Lobato , E. Otoniel , R. M. Marinho , M. Malheiro

Hypo-elastoplasticity is a framework suitable for modeling the mechanics of many hard materials that have small elastic deformation and large plastic deformation. In most laboratory tests for these materials the Cauchy stress is in…

计算物理 · 物理学 2025-01-22 Jiayin Lu , Chris H. Rycroft

A compact object moving relative to surrounding gas accretes material and perturbs the density of gas in its vicinity. In the classical picture of Bondi-Hoyle-Lyttleton accretion, the perturbation takes the form of an overdense wake behind…

高能天体物理现象 · 物理学 2020-04-15 Xinyu Li , Philip Chang , Yuri Levin , Christopher D. Matzner , Philip J. Armitage

Scalar-tensor theory of gravity with non-minimal coupling is a fairly good candidate for dark energy, required to explain late-time cosmic evolution. Here we study the very early stage of evolution of the universe with a modified version of…

高能物理 - 理论 · 物理学 2018-05-22 Ranajit Mandal , Chandramouli Sarkar , Abhik Kumar Sanyal

In this work, the $f(\mathcal{G},T)$ theory of gravity is recast in terms of the $\phi$ and $\psi$ fields within the scalar-tensor formulation, where $\mathcal{G}$ is the Gauss-Bonnet term and $T$ denotes the trace of the energy-momentum…

广义相对论与量子宇宙学 · 物理学 2023-12-20 Adam Z. Kaczmarek , Dominik Szczęśniak

We investigate the emergence of cosmic hysteresis in cyclic bouncing cosmologies within the framework of $f(R)$ modified gravity theories. Building upon previous studies that explored hysteresis phenomena in braneworld and…

广义相对论与量子宇宙学 · 物理学 2025-06-12 Aritra Sanyal

We consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the…

广义相对论与量子宇宙学 · 物理学 2011-07-14 Tiberiu Harko , Francisco S. N. Lobo , Shin'ichi Nojiri , Sergei D. Odintsov

We explore the recently introduced modified Gauss-Bonnet gravity [1], $f(\mathcal{G},T)$ pragmatic with $\mathcal{G}$, the Gauss-Bonnet term, and ${T}$, the trace of the energy-momentum tensor. Noether symmetry approach has been used to…

综合物理 · 物理学 2017-01-31 M. Farasat Shamir , Mushtaq Ahmad

We investigate the physical properties of equilibrium sequences of non-self-gravitating surfaces that characterize thick disks around a rotating deformed compact object described by a stationary generalization of the static q-metric. The…

广义相对论与量子宇宙学 · 物理学 2025-02-14 Shokoufe Faraji , Audrey Trova , Hernando Quevedo

The reconstruction of f(R)-gravity is showed by using an auxiliary scalar field in the context of cosmological evolution, this development provide a way of reconstruct the form of the function f (R) for a given evolution of the Hubble…

高能物理 - 理论 · 物理学 2009-07-22 Diego Sáez-Gómez

The original theory of quasi-metric gravity, admitting only a partial coupling between space-time geometry and the active stress-energy tensor, is too restricted to allow the existence of gravitational waves in vacuum. Therefore, said…

广义相对论与量子宇宙学 · 物理学 2024-03-19 Dag Østvang

Dynamical analysis of spherically symmetric collapsing star surrounding in locally anisotropic environment with expansion-free condition is presented in $f(R,T)$ gravity, where $R$ corresponds to Ricci scalar and $T$ stands for the trace of…

广义相对论与量子宇宙学 · 物理学 2015-04-21 Ifra Noureen , M. Zubair

We investigate the evolution of the linear cosmological perturbations in f(R) gravity, an alternative to dark energy for explaining the late-time cosmic acceleration. We numerically calculate the early-time evolution with an approximation…

宇宙学与河外天体物理 · 物理学 2011-08-16 Je-An Gu , Tse-Chun Wang , Yen-Ting Wu , Pisin Chen , W-Y. Pauchy Hwang

Within the general framework of $f(R)$ gravity, we introduce a function of the electromagnetic curvature invariant $f(\mathbb{F})$ that couples minimally to gravitation to ensure a consistent treatment of curvature functions in these…

广义相对论与量子宇宙学 · 物理学 2026-03-19 Francesco Bajardi , Micol Benetti , Salvatore Capozziello , Abedennour Dib

We formulate the relativistic dissipative hydrodynamics of a system of quasi-particles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with…

高能物理 - 唯象学 · 物理学 2025-04-17 Arghya Mukherjee , Samapan Bhadury , Pracheta Singha

In this paper we contribute to studying the issue of quasistatic limit in the context of Griffith's theory by investigating a one-dimensional debonding model. It describes the evolution of a thin film partially glued to a rigid substrate…

偏微分方程分析 · 数学 2020-01-08 Filippo Riva

Recently $f(T)$ theories based on modifications of teleparallel gravity where torsion is the geometric object describing gravity instead of curvature have been proposed to explain the present cosmic accelerating expansion. The field…

广义相对论与量子宇宙学 · 物理学 2011-11-10 Rong-Jia Yang