Results 21 to 30 of about 15,066 (137)

On the Non Metrizability of Berwald Finsler Spacetimes

Universe, 2020
We investigate whether Szabo’s metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theorem states that, if the metric is of Berwald type (i.e., its Chern–Rund ...
Andrea Fuster, Sjors Heefer, Christian Pfeifer, Nicoleta Voicu   +3 more
doaj   +1 more source

Gyroscope precession in cylindrically symmetric spacetimes [PDF]

, 2000
We present calculations of gyroscope precession in spacetimes described by Levi-Civita and Lewis metrics, under different circumstances. By doing so we are able to establish a link between the parameters of the metrics and observable quantities ...
Banerjee A, Bonnor W B, Bonnor W B, da Silva M F A, da Silva M F A, de Felice F, de Felice F, de Sitter W, Dowker J S, F M Paiva, Fokker A D, Haggag S, Kramer D, L Herrera, Levi-Civita T, Lewis T, Linet B, Mashhoon B, N O Santos, Philbin T, Rajesh Nayak K, Rindler W, Taub A H, Wang A Z   +23 more
core   +2 more sources

Stability of generic thin shells in conformally flat spacetimes

European Physical Journal C: Particles and Fields, 2017
Some important spacetimes are conformally flat; examples are the Robertson–Walker cosmological metric, the Einstein–de Sitter spacetime, and the Levi-Civita–Bertotti–Robinson and Mannheim metrics.
Z. Amirabi
doaj   +1 more source

The torqued cylinder and Levi-Civita’s metric [PDF]

Classical and Quantum Gravity, 2014
arXiv admin note: text overlap with arXiv:1312 ...
openaire   +2 more sources

Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics [PDF]

, 2006
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions.
Astefanesei D., Astefanesei D., Bakas I., Bejancu A., Cao H.-D., Deligne P., MIHAI VISINESCU, SERGIU I. VACARU, Vacaru S.   +8 more
core   +3 more sources

Benenti Tensors: A useful tool in Projective Differential Geometry

Complex Manifolds, 2018
Two metrics are said to be projectively equivalent if they share the same geodesics (viewed as unparametrized curves). The degree of mobility of a metric g is the dimension of the space of the metrics projectively equivalent to g. For any pair of metrics
Manno Gianni, Vollmer Andreas
doaj   +1 more source

Quantum Riemannian geometry of phase space and nonassociativity

Demonstratio Mathematica, 2017
Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
doaj   +1 more source

Strictly non-proportional geodesically equivalent metrics have $h_\text{top}(g)=0$ [PDF]

, 2004
Suppose the Riemannian metrics $g$ and $\bar g$ on a closed connected manifold $M^n$ are geodesically equivalent and strictly non-proportional at least at one point.
Kruglikov, Boris S., Matveev, Vladimir S.   +1 more
core   +3 more sources

The Calabi's metric for the space of Kaehler metrics [PDF]

, 2010
Given any closed Kaehler manifold we define, following an idea by Eugenio Calabi, a Riemannian metric on the space of Kaehler metrics regarded as an infinite dimensional manifold.
Calamai, Simone
core   +2 more sources

Notes on static cylindrical shells

, 2002
Static cylindrical shells made of various types of matter are studied as sources of the vacuum Levi-Civita metrics. Their internal physical properties are related to the two essential parameters of the metrics outside.
Anderson M R, Bicák J, Bonnor W B, Gönna U, Hawking S W, Herrera L, Israel W, Israel W, J Bic$aacute$k, Klepác P, Langer J, M Zofka, Marder L, Philbin T G, Raychaudhuri A K, Wald R, Wang A Z   +16 more
core   +2 more sources