Results 11 to 20 of about 208 (40)
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows [PDF]
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.
core +3 more sources
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
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj +1 more source
Fractional Analogous Models in Mechanics and Gravity Theories [PDF]
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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Recursions of Symmetry Orbits and Reduction without Reduction [PDF]
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.
core +4 more sources
Gravitational field of Schwarzschild soliton
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
Fractional Exact Solutions and Solitons in Gravity [PDF]
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
core +1 more source
Perturbations and Stability of Black Ellipsoids [PDF]
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
core +1 more source
Geodesic completeness of generalized space-times
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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Intrinsic Spectral Geometry of the Kerr-Newman Event Horizon
We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can ...
Martin Engman +4 more
core +3 more sources

