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Gravity, strings, modular and quasimodular forms
Gravity strings modular and quasimodular forms Mathematical Physics
2012/6/19
Modular and quasimodular forms have played an important role in gravity and string theory. Eisenstein series have appeared systematically in the determination of spectrums and partition functions, in ...
Special solutions to a compact equation for deep-water gravity waves
Special solutions compact equation deep-water gravity waves Classical Physics
2012/4/24
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential flow of an incompress...
An inhomogeneous toy-model of the quantum gravity with explicitly evolvable observables
quantum gravity inhomogeneous toy-model explicitly evolvable observables
2011/9/30
Abstract: We consider an inhomogeneous (1+1)-dimensional model of the quantum gravity, which has a system of constraints (hamiltonian and momentum ones) by analogy with that of the General Relativity....
Coupling of gravity to matter, spectral action and cosmic topology
Coupling of gravity spectral action cosmic topology
2011/7/26
Abstract: We consider a model of modified gravity based on the spectral action functional, for a cosmic topology given by a spherical space form, and the associated slow-roll inflation scenario. We co...
Exact solutions for small-amplitude capillary-gravity water waves
small-amplitude capillary-gravity water waves Fluid Dynamics
2011/7/26
Abstract: We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the sur...
Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
Small-amplitude capillary-gravity water waves particle motion beneath Fluid Dynamics
2011/7/26
Abstract: Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitud...
Exact solutions for small-amplitude capillary-gravity water waves
capillary-gravity water waves Exact solutions
2011/9/14
We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the surface of an...
Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
capillary-gravity water waves exact solutions particle motion
2011/9/14
Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, w...
A Unified Gravity-Electroweak Model Based on a Generalized Yang-Mills Framework
Gravity-Electroweak Model Generalized Yang-Mills Framework
2011/7/27
A Unified Gravity-Electroweak Model Based on a Generalized Yang-Mills Framework.
De Sitter brane-world, localization of gravity, and the cosmological constant
De Sitter brane-world localization of gravity cosmological constant
2010/12/21
Cosmological models with a de Sitter 3-brane embedded in a five-dimensional de Sitter spacetime
(dS5) give rise to a finite 4D Planck mass similar to that in Randall-Sundrum (RS) brane-world
models ...
General heavenly equation governs anti-self-dual gravity
General heavenly equation anti-self-dual gravity
2010/12/21
We show that the general heavenly equation, suggested recently by Doubrov and Ferapontov [1], governs anti-self-dual (ASD) gravity. We derive ASD Ricci-flat vacuum metric governed by the general heave...
The Symmetric Teleparallel Gravity
Non-Riemannian geometry Non-metricity Teleparallel gravity
2010/4/9
We study symmetric teleparallel (STP) gravity model, in which only spacetime non-metricity is nonzero. First we obtain STP equivalent Einstein-Hilbert Lagrangian and give an approach for a generic sol...