Results 11 to 20 of about 2,770 (52)

Generic Off--Diagonal Solutions and Solitonic Hierarchies in Einstein and Modified Gravity [PDF]

, 2015
We summarize some our recent results on encoding exact solutions of field equations in Einstein and modified gravity theories into solitonic hierarchies derived for nonholonomic curve flows with associated bi-Hamilton structure.
Vacaru, Sergiu I.
core   +1 more source

Integrability analysis of the partial differential equation describing the classical bond-pricing model of mathematical finance

Open Physics, 2018
The invariant approach is employed to solve the Cauchy problem for the bond-pricing partial differential equation (PDE) of mathematical finance. We first briefly review the invariant criteria for a scalar second-order parabolic PDE in two independent ...
Aziz Taha, Fatima Aeeman, Khalique Chaudry Masood   +2 more
doaj   +1 more source

Nonmetric geometry and its role in the isotropization of self-Gravitating stellar models

Nuclear Physics B
This work employs the gravitational decoupling scheme to study static, astrophysically compact fluid spheres within the linear functional framework of the nonmetricity-based gravity model. The motivation behind this theoretical study is twofold.
S. Khan, Sardor Murodov, Javlon Rayimbaev, Ikram Davletov, Inomjon Ibragimov, Sokhibjan Muminov   +5 more
doaj   +1 more source

Regarding on the exact solutions for the nonlinear fractional differential equations

Open Physics, 2016
In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations.
Kaplan Melike, Koparan Murat, Bekir Ahmet   +2 more
doaj   +1 more source

Inhomogeneous Quantum Mixmaster: from Classical toward Quantum Mechanics

, 2006
Starting from the Hamiltonian formulation for the inhomogeneous Mixmaster dynam- ics, we approach its quantum features through the link of the quasi-classical limit.
Benini, Riccardo, Montani, Giovanni
core   +1 more source

Quintessence duality [PDF]

, 1999
We join quintessence cosmological scenarios with the duality simmetry existing in string dilaton cosmologies. Actually, we consider the tracker potential type $V = V_0/{\phi}^{\alpha}$ and show that duality is only established if $\alpha = - 2$.Comment ...
A. A. MARINO, C. RUBANO, Capozziello S., de Ritis R., Liddle A. R., P. SCUDELLARO, R. DE RITIS, Ratra B., Steinhardt P. J., Turner M. S.   +9 more
core   +4 more sources

On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

Open Physics, 2018
In this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it.
Motsepa Tanki, Masood Khalique Chaudry
doaj   +1 more source

Rotating dust solutions of Einstein's equations with 3-dimensional symmetry groups, Part 2: One Killing field spanned on u^{\alpha} and w^{\alpha}

, 2001
This is the second part of a series of 3 papers. Using the same method and the same coordinates as in part 1, rotating dust solutions of Einstein's equations are investigated that possess 3-dimensional symmetry groups, under the assumption that only one ...
Krasinski, Andrzej
core   +1 more source

Ghost star evolution with dissipative fluid in modified gravity

Nuclear Physics B
In this article, we consider a non-static spherical anisotropic self-gravitating structure to examine the development of fluid distribution which correlates with a ghost star or achieves the position associated with the ghost star in f(R) gravity, where ...
I. Sabir, M.Z. Bhatti
doaj   +1 more source

Comment on the new AdS universe

, 2008
We show that Bonnor's new Anti-de Sitter (AdS) universe and its D-dimensional generalization is the previously studied AdS soliton.Comment: 2 pages; version 2: major changes including the ...
Bayram Tekin, Bonnor W B, Zofka M, Özgür Sarıoğlu   +3 more
core   +1 more source