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Third-order approximate solutions for surface gravity waves in the finite water depth are studied in the context of potential flow theory. This solution provides explicit expressions for the surface elevation, free-surface velocity…

流体动力学 · 物理学 2021-09-15 Zhe Gao , Z. C Sun , S. X Liang

We consider a massive relativistic particle in the background of a gravitational plane wave. The corresponding Green functions for both spinless and spin 1/2 cases, previously computed by A. Barducci and R. Giachetti \cite{Barducci3}, are…

高能物理 - 理论 · 物理学 2008-11-26 A. N. Vaidya , C. Farina , M. S. Guimaraes , M. J. Neves

We investigate perturbative aspects of gravity with a general F(R) Lagrangian, as well as nonperturbative dilatonic solutions. For the first part, we are interested in stability and the definition of asymptotic charges. The main result of…

高能物理 - 理论 · 物理学 2008-11-26 D. Bazeia , B. Carneiro da Cunha , R. Menezes , A. Yu. Petrov

We study the evolution of gravitational waves for non-singular cosmological solutions within the framework of Born-Infeld inspired gravity theories, with special emphasis on the Eddington-inspired Born-Infeld theory. We review the existence…

高能物理 - 理论 · 物理学 2018-07-04 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

Alternative theories of gravity predict the presence of massive scalar, vector, and tensor gravitational wave modes in addition to the standard massless spin~2 graviton of general relativity. The deflection and frequency shift effects on…

广义相对论与量子宇宙学 · 物理学 2009-10-29 S. Bellucci , S. Capozziello , M. De Laurentis , V. Faraoni

The cosmological propagation of tensor perturbations is studied in the context of parity-violating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Aindriú Conroy , Tomi Koivisto

We present a novel calculation of the four-momentum that is radiated into gravitational waves during the scattering of two arbitrarily spinning bodies. Our result, which is accurate to leading order in $G$, to quadratic order in the spins,…

高能物理 - 理论 · 物理学 2022-08-05 Massimiliano Maria Riva , Filippo Vernizzi , Leong Khim Wong

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Jie Zhu , Hao Li

We consider a theory of gravity in which a symmetric two-index tensor in Minkowski spacetime acquires a vacuum expectation value (vev) via a potential, thereby breaking Lorentz invariance spontaneously. When the vev breaks all the…

高能物理 - 理论 · 物理学 2009-08-13 Sean M. Carroll , Heywood Tam , Ingunn Kathrine Wehus

The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for ``the right answer to the wrong question''. This position does not seem convincing to us. We think that we have found the right answer…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S V Babak , L P Grishchuk

The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

高能物理 - 理论 · 物理学 2009-06-12 Robert Marnelius

We have taken a modified version of the Einstein Hilbert action, $ f(R, T^\phi) $ gravity under consideration, where $T^\phi$ is the energy-momentum tensor trace for the scalar field under consideration. The structural behaviour of the…

广义相对论与量子宇宙学 · 物理学 2021-11-22 Sourav Roy Chowdhury , Maxim Khlopov

Accelerated expansion of the Universe prompted searches of modified gravity theory beyond general relativity, instead of adding a mysterious dark energy component with exotic physical properties. One such alternative gravity approach is…

广义相对论与量子宇宙学 · 物理学 2024-06-11 Sreekanth Harikumar , Laur Järv , Margus Saal , Aneta Wojnar , Marek Biesiada

Two approaches to the study of cosmological density perturbations in modified theories of Palatini gravity have recently been discussed. These utilise, respectively, a generalisation of Birkhoff's theorem and a direct linearization of the…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Kotub Uddin , James E Lidsey , Reza Tavakol

We consider the Newtonian limit of the theory based on the Lagrangian L = R + \sum a_k R \Box^k R. The gravitational potential of a point mass turns out to be a combination of Newtonian and Yukawa terms. For sixth-order gravity the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Ines Quandt , H. -J. Schmidt

This paper studies a generic fourth-order theory of gravity with Lagrangian density $f(R,R_c^2,R_m^2, \mathscr{L}_m)$. By considering explicit $R^2$ dependence and imposing the "coherence condition" $f_{R^2}\!=\!f_{R_m^2}\!=\!…

广义相对论与量子宇宙学 · 物理学 2015-07-14 David Wenjie Tian , Ivan Booth

The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry stand point and thus treats both gravity and particle physics…

高能物理 - 理论 · 物理学 2010-10-27 William Nelson , Joseph Ochoa , Mairi Sakellariadou

We use a full general relativistic framework to study the self-similar expansion of bubbles of the stable phase into a flat Friedmann-Lema\^itre-Robertson-Walker Universe in a first order phase transition in the early Universe. With a…

宇宙学与河外天体物理 · 物理学 2023-08-30 Lorenzo Giombi , Mark Hindmarsh

The Higher Order Theories of Gravity - $f(R, R_{\alpha\beta}R^{\alpha\beta})$ - theory, where $R$ is the Ricci scalar, $R_{\alpha\beta}$ is the Ricci tensor and $f$ is any analytic function - have recently attracted a lot of interest as…

广义相对论与量子宇宙学 · 物理学 2010-02-07 Arturo Stabile

We discuss a very general theory of gravity, of which Lagrangian is an arbitrary function of the curvature invariants, on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as…

高能物理 - 理论 · 物理学 2014-11-20 Mariusz P. Dabrowski , Adam Balcerzak