15.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- California Institute of TechnologyUS2.6k papers
- Centre National de la Recherche ScientifiqueFR2k papers
- Massachusetts Institute of TechnologyUS1.9k papers
- University of FloridaUS1.8k papers
- Carnegie Mellon UniversityUS1.7k papers
- Princeton UniversityUS1.7k papers
- University of RochesterUS1.7k papers
- Purdue University West LafayetteUS1.6k papers
- Johns Hopkins UniversityUS1.6k papers
- University of Maryland, College ParkUS1.6k papers
- The Ohio State UniversityUS1.6k papers
- University of California, Santa BarbaraUS1.6k papers
15 papers · 2 filters
Boundary Conditions for the Einstein Evolution System
Lawrence E. Kidder, Lee Lindblom, Mark A. Scheel +2
New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from…
Recent analytical and numerical techniques applied to the Einstein equations
Dave Neilsen, Luis Lehner, Olivier Sarbach +1
Combining deeper insight of Einstein's equations with sophisticated numerical techniques promises the ability to construct accurate numerical implementations of these equations. We…
Quasi-local contribution to the gravitational self-force
Warren G. Anderson, Eanna E. Flanagan, Adrian C. Ottewill
The gravitational self-force on a point particle moving in a vacuum background spacetime can be expressed as an integral over the past worldline of the particle, the so-called tail…
Boundary conditions for Einstein's field equations: Analytical and numerical analysis
Olivier Sarbach, Manuel Tiglio
Outer boundary conditions for strongly and symmetric hyperbolic formulations of 3D Einstein's field equations with a live gauge condition are discussed. The boundary conditions hav…
From Einstein's 1905 Postulates to the Geometry of Flat Space-Time
N. David Mermin
Minkowski diagrams in 1+1 dimensional flat space-time are given a strictly geometric derivation, directly from two gedanken experiments incorporating the principle of the constancy…
A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars II. Dynamics
Jeandrew Brink, Saul A. Teukolsky, Ira Wasserman
Two mechanisms for nonlinear mode saturation of the r-mode in neutron stars have been suggested: the parametric instability mechanism involving a small number of modes and the form…
Initial data for Einstein's equations with superposed gravitational waves
Harald P. Pfeiffer, Lawrence E. Kidder, Mark A. Scheel +1
A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. Th…
A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction
Jeandrew Brink, Saul A. Teukolsky, Ira Wasserman
R-modes of a rotating neutron star are unstable because of the emission of gravitational radiation. We explore the saturation amplitudes of these modes determined by nonlinear mode…
Optimal Constraint Projection for Hyperbolic Evolution Systems
Michael Holst, Lee Lindblom, Robert Owen +3
Techniques are developed for projecting the solutions of symmetric hyperbolic evolution systems onto the constraint submanifold (the constraint-satisfying subset of the dynamical f…
The discrete energy method in numerical relativity: Towards long-term stability
Luis Lehner, David Neilsen, Oscar Reula +1
The energy method can be used to identify well-posed initial boundary value problems for quasi-linear, symmetric hyperbolic partial differential equations with maximally dissipativ…
Nonlinear Couplings of R-modes: Energy Transfer and Saturation Amplitudes at Realistic Timescales
Jeandrew Brink, Saul A Teukolsky, Ira Wasserman
Non-linear interactions among the inertial modes of a rotating fluid can be described by a network of coupled oscillators. We use such a description for an incompressible fluid to…
The Initial Value Problem Using Metric and Extrinsic Curvature
James W. York
The initial value problem is introduced after a thorough review of the essential geometry. The initial value equations are put into elliptic form using both conformal transformatio…
Post-1-Newtonian equations of motion for systems of arbitrarily structured bodies
Étienne Racine, Éanna É. Flanagan
We give a surface integral derivation of post-1-Newtonian translational equations of motion for a system of arbitrarily structured bodies, including the coupling to all the bodies'…
The conformal frame freedom in theories of gravitation
Eanna E. Flanagan
It has frequently been claimed in the literature that the classical physical predictions of scalar tensor theories of gravity depend on the conformal frame in which the theory is f…
Controlling the Growth of Constraints in Hyperbolic Evolution Systems
Lee Lindblom, Mark A. Scheel, Lawrence E. Kidder +3
Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for contro…