Results 11 to 20 of about 193 (38)
Gravitational field of Schwarzschild soliton
Arab Journal of Mathematical Sciences, 2015 The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields.
Musavvir Ali, Zafar Ahsan
doaj +1 more source
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows [PDF]
, 2007 We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) $p = p(\epsilon)$.
Borshch, Maxim S., Zhdanov, Valery I.
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Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
doaj +1 more source
Recursions of Symmetry Orbits and Reduction without Reduction [PDF]
, 2011 We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Amp\`ere equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually complex conjugate for CMA ...
Malykh, Andrei A., Sheftel, Mikhail B.
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Fractional Analogous Models in Mechanics and Gravity Theories [PDF]
, 2010 We briefly review our recent results on the geometry of nonholonomic manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo derivatives. Such constructions are used for elaborating analogous models of fractional gravity and fractional
D Baleanu +5 more
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Fractional Exact Solutions and Solitons in Gravity [PDF]
, 2010 We survay our recent results on fractional gravity theory. It is also provided the Main Theorem on encoding of geometric data (metrics and connections in gravity and geometric mechanics) into solitonic hierarchies.
D Baleanu, S Anco, S Vacaru
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Perturbations and Stability of Black Ellipsoids [PDF]
, 2002 We study the perturbations of two classes of static black ellipsoid solutions of four dimensional vacuum Einstein equations. Such solutions are described by generic off--diagonal metrics which are generated by anholonomic transforms of diagonal metrics ...
Chandrasekhar S. +2 more
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Geodesic completeness of generalized space-times
, 2015 We define the notion of geodesic completeness for semi-Riemannian metrics of low regularity in the framework of the geometric theory of generalized functions.
Steinbauer, Roland, Sämann, Clemens
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Partner symmetries and non-invariant solutions of four-dimensional heavenly equations [PDF]
, 2004 We extend our method of partner symmetries to the hyperbolic complex Monge-Amp\`ere equation and the second heavenly equation of Pleba\~nski. We show the existence of partner symmetries and derive the relations between them for both equations.
A A Malykh +15 more
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Anti-self-dual Riemannian metrics without Killing vectors, can they be realized on K3?
, 2003 Explicit Riemannian metrics with Euclidean signature and anti-self dual curvature that do not admit any Killing vectors are presented. The metric and the Riemann curvature scalars are homogenous functions of degree zero in a single real potential and its
A A Malykh +20 more
core +2 more sources