Concept
Geodesics in general relativity
Publications associées (33)
A proof of the instability of AdS for the Einstein-massless Vlasov system
In recent years, the conjecture on the instability of Anti-de Sitter spacetime, put forward by Dafermos-Holzegel (Dynamic instability of solitons in 4 + 1 dimesnional gravity with negative cosmological constant, 2006. https://www.dpmms.cam.ac.uk/similar to ...
SPRINGER HEIDELBERG2022Voss surfaces: A design space for geodesic gridshells
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...
2021Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic
Jürgpeter Buser, Robert Silhol
We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface S where a short closed geodesic is pinched. If the geodesic separates the surface into two parts, then the Jacobian variety of S develops into a variety that split ...
2020Voss Surfaces: A Design Space for Geodesic Gridshells
Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel
The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...
2020Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term
Mário Jorge Rodrigues Pereira Da Franca, Sara Venuleo
Gravity currents are often modelled by means of shallow water equations (SWEs). In these models, simplifications such as the consideration of a constant layer-averaged density are common. This note presents the complete and general derivation of a 2D depth ...
2018On a Lagrangian Formulation of the Incompressible Euler Equation
In this paper we show that the incompressible Euler equation on the Sobolev space H-s(R-n), s> n/2+1, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the geodesi ...
Global Science Press2016