Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Chanda, Sumanto"'
Autor:
Chanda, Sumanto
In this article I discuss Zermelo's navigation problem in spacetime as a geometrization of the frame dragging effect, and recast various examples involving the latter into Zermelo form. I start by describing a stationary spacetime in Zermelo's form a
Externí odkaz:
http://arxiv.org/abs/2405.08195
Autor:
Chanda, Sumanto, Wada, Tatsuaki
In this article we shall discuss the theory of geodesics in information geometry, and an application in astrophysics. We will study how gradient flows in information geometry describe geodesics, explore the related mechanics by introducing a constrai
Externí odkaz:
http://arxiv.org/abs/2212.06959
Autor:
Chanda, Sumanto
In this article I discuss the Jacobi metric in various contexts such as momentum constraint, Eisenhart lift, frame dragging effect, and Randers-Finsler metrics that share a common Jacobi metric. First, I introduce the constraint with relativistic mom
Externí odkaz:
http://arxiv.org/abs/1911.06321
Autor:
Chanda, Sumanto, Guha, Partha
We study scalar field theory as a generalization of point particle mechanics using the Polyakov action, and demonstrate how to extend Lorentzian and Riemannian Eisenhart lifts to the theory in a similar manner. Then we explore extension of the Rander
Externí odkaz:
http://arxiv.org/abs/1905.06188
In this paper we return to the subject of Jacobi metrics for timelike and null geodsics in stationary spactimes, correcting some previous misconceptions. We show that not only null geodesics, but also timelike geodesics are governed by a Jacobi-Maupe
Externí odkaz:
http://arxiv.org/abs/1903.11805
Publikováno v:
Phys. Lett. A Vol. 382, Iss. 7 (2018) 455-460
The equations for the general Darboux-Halphen system obtained as a reduction of the self-dual Yang-Mills can be transformed to a third-order system which resembles the classical Darboux-Halphen system with a common additive terms. It is shown that th
Externí odkaz:
http://arxiv.org/abs/1710.00158
We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Lienard type, viz \ddot{x} + f(x)x^2 + g(x) = 0 using Jacobi's last multiplier. The JM metric allows us to reformulate the Newtonian equation of motion for a var
Externí odkaz:
http://arxiv.org/abs/1706.02219
Autor:
Chanda, Sumanto, Guha, Partha
The relativistic Lagrangian in presence of potentials was formulated directly from the metric, with the classical Lagrangian shown embedded within it. Using it we formulated covariant equations of motion, a deformed Euler-Lagrange equation, and relat
Externí odkaz:
http://arxiv.org/abs/1706.01921
Autor:
Chanda, Sumanto, Guha, Partha
We have studied optical metrics via null geodesics and optical-mechanical formulation of classical mechanics, and described the geometry and optics of mechanical systems with drag dependent quadratically on velocity. Then we studied null geodesics as
Externí odkaz:
http://arxiv.org/abs/1704.01830
This article studies the application of the Jacobi-Eisenhart lift, Jacobi metric and Maupertius transformation to the Kepler system. We start by reviewing fundamentals and the Jacobi metric. Then we study various ways to apply the lift to Kepler rela
Externí odkaz:
http://arxiv.org/abs/1612.07395