Spherically symmetric geometrodynamics in Jordan and Einstein frames
Spherically symmetric geometrodynamics is studied for scalar–tensor theory and Einstein General Relativity minimally coupled to a scalar field. We discussed the importance of boundary terms for non-compact space-like foliations and derived the equations ...
Matteo Galaverni, Gabriele Gionti
doaj +1 more source
Exact solutions in multidimensional gravity with antisymmetric forms
This topical review deals with a multidimensional gravitational model containing dilatonic scalar fields and antisymmetric forms. The manifold is chosen in the form M = M_0 x M_1 x ...x M_n, where M_i are Einstein spaces (i >0).
Ivashchuk, V. D., Melnikov, V. N.
core +1 more source
Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics [PDF]
We consider the one degree-of-freedom Hamiltonian system defined by the Morse potential energy function (the "Morse oscillator"). We use the geometry of the level sets to construct explicit expressions for the trajectories as a function of time, their ...
Krajňák, Vladimír, Wiggins, Stephen
core +3 more sources
Quantum billiards with branes on product of Einstein spaces [PDF]
We consider a gravitational model in dimension D with several forms, l scalar fields and a Lambda-term. We study cosmological-type block-diagonal metrics defined on a product of an 1-dimensional interval and n oriented Einstein spaces.
Ivashchuk, V. D.
core +2 more sources
Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
Ewald's Conjecture and integer points in algebraic and symplectic toric geometry
Abstract We solve several open problems concerning integer points of reflexive smooth polytopes, also known as monotone polytopes. While the paper belongs to the realm of discrete geometry, the connection with symplectic and algebraic geometry appears naturally since these polytopes have an important role in both areas.
Luis Crespo +2 more
wiley +1 more source
The third order Melnikov function of a quadratic center under quadratic perturbation [PDF]
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit ...
Buica, A. +2 more
core
Abstract Climate change alters hydrological and ice conditions, but how these changes affect turbulence beneath ice cover has been poorly studied. This study presents a multi‐year observational analysis of near‐bed turbulence under ice cover in a subarctic meandering river reach.
Karoliina Lintunen +6 more
wiley +1 more source
Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles [PDF]
This paper is devoted to the problem of the existence of periodic solutions of an analytical autonomous system in the plane, depending on a small parameter. It is assumed that, when the parameter is set to zero, the equation is Hamiltonian and has either a nondegenerate center (i.e., a center with purely imaginary eigenvalues) or a heteroclinic cycle ...
Li, Weigu, Llibre, Jaume, Zhang, Xiang
openaire +1 more source
Constraints on the hadronic light-by-light tensor in corner kinematics for the muon g − 2
The dispersive approach to the hadronic light-by-light contribution to the muon g − 2 involves an integral over three virtual photon momenta appearing in the light-by-light tensor.
J. Bijnens +2 more
doaj +1 more source

