LORENTZIAN METRICS FROM HOLOMORPHIC METRICS

2002 ◽  
pp. 810-812
Author(s):  
DAVID C. ROBINSON
Keyword(s):  
Lorentzian Metrics

scholarly journals Wave equation on spherically symmetric Lorentzian metrics

2011 ◽  
Vol 52 (6) ◽  
pp. 063511 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
Ahmad Y. Al-Dweik ◽  
A. H. Kara ◽  
M. Karim ◽  
F. D. Zaman
Keyword(s):  
Wave Equation ◽  
Spherically Symmetric ◽  
Lorentzian Metrics

scholarly journals n-DIMENSIONAL GEOMETRIES AND EINSTEIN EQUATIONS FROM SYSTEMS OF PDE'S

2007 ◽  
Vol 16 (11) ◽  
pp. 1725-1734
Author(s):  
EMANUEL GALLO ◽  
MAGDALENA MARCIANO-MELCHOR ◽  
GILBERTO SILVA-ORTIGOZA
Keyword(s):  
Jacobi Equation ◽  
Second Order ◽  
Einstein Equations ◽  
Lorentzian Metrics ◽  
Hamilton Jacobi Equation

The aim of this work is twofold: first, we show how all the n-dimensional Riemannian and Lorentzian metrics can be constructed from a certain class of systems of second-order PDE's which are in duality to the Hamilton–Jacobi equation; second, we impose the Einstein equations on these PDE's.

scholarly journals Efficient computation of null geodesics with applications to coherent vortex detection

2017 ◽  
Vol 473 (2199) ◽  
pp. 20160807 ◽  
Author(s):  
Mattia Serra ◽  
George Haller
Keyword(s):  
Coherent Structures ◽  
Efficient Computation ◽  
Velocity Data ◽  
Null Geodesics ◽  
Lorentzian Metrics ◽  
Automated Method ◽  
Coherent Vortex ◽  
Vortex Detection ◽  
Matlab Implementation ◽  
Flow Domain

Recent results suggest that boundaries of coherent fluid vortices (elliptic coherent structures) can be identified as closed null geodesics of appropriate Lorentzian metrics defined on the flow domain. Here we derive an automated method for computing such null geodesics based on the geometry of the underlying geodesic flow. Our approach simplifies and improves existing procedures for computing variationally defined Eulerian and Lagrangian vortex boundaries. As an illustration, we compute objective vortex boundaries from satellite-inferred ocean velocity data. A MATLAB implementation of our method is available at https://github.com/MattiaSerra/Closed-Null-Geodesics-2D .

On vanishing-curvature extensions of Lorentzian metrics

1994 ◽  
Vol 4 (4) ◽  
pp. 425-466 ◽  
Author(s):  
Lars Alexandersson
Keyword(s):  
Lorentzian Metrics

scholarly journals The Hawking–Penrose Singularity Theorem for C 1,1-Lorentzian Metrics

2017 ◽  
Vol 360 (3) ◽  
pp. 1009-1042 ◽  
Author(s):  
Melanie Graf ◽  
James D. E. Grant ◽  
Michael Kunzinger ◽  
Roland Steinbauer
Keyword(s):  
Singularity Theorem ◽  
Lorentzian Metrics
Sign in / Sign up

Export Citation Format

Share Document