Results 41 to 50 of about 85,733 (177)

Reducibility of Valence-3 Killing Tensors in Weyl's Class of Stationary and Axially Symmetric Space-Times

, 2015
Stationary and axially symmetric space-times play an important role in astrophysics, particularly in the theory of neutron stars and black holes. The static vacuum sub-class of these space-times is known as Weyl's class, and contains the Schwarzschild ...
Vollmer, Andreas
core   +1 more source

Integrability of Nonholonomic Heisenberg Type Systems [PDF]

, 2016
We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical $r ...
Grigoryev, Yury A., Sozonov, Alexey P., Tsiganov, Andrey V.   +2 more
core   +3 more sources

Gravitational fields as generalized string models

, 2008
We show that Einstein's main equations for stationary axisymmetric fields in vacuum are equivalent to the motion equations for bosonic strings moving on a special nonflat background.
A. Papapetrou, A. Sánchez, A. Ya. Burinskii, C.W. Misner, D. Korotkin, D. Maison, D. Nuñez, F. J. Ernst, Francisco J. Hernández, Francisco Nettel, H. J. Vega de, H. Nishino, H. Nishino, H. Quevedo, H. Stephani, H. Weyl, Hernando Quevedo, J. Polchinski, L. Patiño, R. Gowdy, T. Lewis, V. A. Belinsky   +21 more
core   +1 more source

Killing Vector Fields in Generalized Conformal β-Change of Finsler Spaces

Journal of Mathematics, 2015
We consider a Finsler space equipped with a Generalized Conformal β-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal β-change of metric.
Mallikarjun Yallappa Kumbar, Narasimhamurthy Senajji Kampalappa, Thippeswamy Komalobiah Rajanna, Kavyashree Ambale Rajegowda   +3 more
doaj   +1 more source

Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
doaj   +1 more source

Examples of Einstein spacetimes with recurrent null vector fields

, 2011
The Einstein Equation on 4-dimensional Lorentzian manifolds admitting recurrent null vector fields is discussed. Several examples of a special form are constructed.
Galaev, Anton S.
core   +1 more source

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
doaj   +1 more source

Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds

Axioms
We study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields.
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Hidden symmetries, the Bianchi classification and geodesics of the quantum geometric ground-state manifolds

SciPost Physics, 2021
We study the Killing vectors of the quantum ground-state manifold of a parameter-dependent Hamiltonian. We find that the manifold may have symmetries that are not visible at the level of the Hamiltonian and that different quantum phases of matter ...
Diego Liska, Vladimir Gritsev
doaj   +1 more source

Twisting type-N vacuum fields with a group $H_2$

, 2000
We derive the equations corresponding to twisting type-N vacuum gravitational fields with one Killing vector and one homothetic Killing vector by using the same approach as that developed by one of us in order to treat the case with two non-commuting ...
Chinea F J, Chinea F J, Collinson C D, F J Chinea, F Navarro-Lérida, Finley J D III, Finley J D III, Herlt E, Ludwig G, Ludwig G, McIntosh C B G, McIntosh C B G   +11 more
core   +2 more sources