From the 1 of 6.7k papers with an AI index.
- University of ChicagoUS2k papers
- University of MichiganUS1.9k papers
- University of OxfordGB1.9k papers
- The Ohio State UniversityUS1.9k papers
- Lawrence Berkeley National LaboratoryUS1.9k papers
- Yale UniversityUS1.8k papers
- Argonne National LaboratoryUS1.8k papers
- Tufts UniversityUS1.8k papers
- Duke UniversityUS1.8k papers
- Michigan State UniversityUS1.8k papers
- Centre National de la Recherche ScientifiqueFR1.8k papers
- University of TorontoCA1.8k papers
9 papers · 2 filters
A dissipative algorithm for wave-like equations in the characteristic formulation
Luis Lehner
We present a dissipative algorithm for solving nonlinear wave-like equations when the initial data is specified on characteristic surfaces. The dissipative properties built in this…
An Exact Universal Gravitational Lensing Equation
Simonetta Frittelli, Ezra T. Newman
We first define what we mean by gravitational lensing equations in a general space-time. A set of exact relations are then derived that can be used as the gravitational lens equati…
Null Cones in Schwarzschild Geometry
Thomas P. Kling, Ezra T. Newman
Light cones of Schwarzschild geometry are studied in connection to the Null Surface Formulation and gravitational lensing. The paper studies the light cone cut function's singulari…
Characteristic Surface Data for the Eikonal Equation
Ezra T. Newman, Alejandro Perez
A method of solving the eikonal equation, in either flat or curved space-times, with arbitrary Cauchy data, is extended to the case of data given on a characteristic surface. We fi…
The Eikonal Equation in Flat Space: Null Surfaces and Their Singularities I
S. Frittelli, E. T. Newman, G. Silva-Ortigoza
The level surfaces of solutions to the eikonal equation define null or characteristic surfaces. In this note we study, in Minkowski space, properties of these surfaces. In particul…
Exact Solutions for the Intrinsic Geometry of Black Hole Coalescence
Luis Lehner, Nigel T. Bishop, Roberto Gómez +2
We describe the null geometry of a multiple black hole event horizon in terms of a conformal rescaling of a flat space null hypersurface. For the prolate spheroidal case, we show t…