Results 1 to 10 of about 176 (26)

Twisting type N vacuums with cosmological constant [PDF]

, 2007
We provide the first examples of vacuum metrics with cosmological constant which have a twisting quadruple principal null ...
Nurowski, Pawel
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By Magri's Theorem, Self-Dual Gravity is Completely Integrable [PDF]

, 2007
By Magri's theorem the bi-Hamiltonian structure of Plebanski's second heavenly equation proves that (anti)-self-dual gravity is a completely integrable system in four dimensions.Comment: This is a contribution to the Proc.
Nutku, Yavuz
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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, D Baleanu, S Anco, S Vacaru, S Vacaru, S Vacaru   +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
core   +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.
core   +3 more sources

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, Aliev A N, Atiyah M F, Boyer C P, Calabi E, Chern S S, Chern S S, Goldblatt E, Hitchin N J, Kummer E E, Lie S, M B Sheftel, Malykh A A Sheftel M B V K Andreev Yu V Shan'ko, Martina L, Mason L J, Nutku Y, Olver P, Ovsiannikov L V, Vessiot E, Y Nutku, Yau S-T   +20 more
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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.
core   +4 more sources

Intrinsic Spectral Geometry of the Kerr-Newman Event Horizon

, 2006
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, Ricardo Cordero-Soto, Wald R., Zelditch S., ’t Hooft G.   +4 more
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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., SERGIU I. VACARU, Zerilli F. J.   +2 more
core   +1 more source

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
core   +1 more source