Geometric Boundary Data for the Gravitational Field

“Theoreme d’existence pour certain systemes d’equations aux deriveés partielles nonlinear”, Y. Foures-Bruhat Acta Mathematica

1952

Earlier work this paper cites.

“Global aspects of the Cauchy problem in general relativity”, Y. Choquet-Bruhat and R. Geroch, Commun. Math. Phys

1969

Earlier work this paper cites.

“Kinematics and dynamics of general relativity”, J. W. York Jr., in Sources of gravitational radiation

Original

1979

Earlier work this paper cites.

“General Relativity”, R. M. Wald (University of Chicago Press, Chicago, 1984)

1984

Earlier work this paper cites.

“An approach to gravitational radiation by a method of spin coefficients”, E. T. Newman and R. Penrose, J Math. Phys

1992

Earlier work this paper cites.

“Hyperbolic reductions for Einstein’s equations”, H. Friedrich, Class. Quant. Grav

1996

Earlier work this paper cites.

“The initial boundary value problem for Einstein’s vacuum field equation”, H. Friedrich and G. Nagy, Commun. Math. Phys

1999

Cited alongside, same era.

“Initial-Boundary Value Problems and the Navier-Stokes Equations”, H-O. Kreiss and J. Lorenz, (Academic Press, New York, 1989), Reprint Siam Classics (2004)

2004

Cited alongside, same era.

“Problems which are well posed in a generalized sense with applications to the Einstein equations”, H-O. Kreiss and J. Winicour, Class. Quantum Grav

2006

Cited alongside, same era.

“Well posed initial-boundary value problem for the harmonic Einstein equations using energy estimates”, H-O. Kreiss, O. Reula, O. Sarbach and J. Winicour, Class. Quantum Grav

2007

Cited alongside, same era.

“Boundary conditions for coupled quasilinear wave equations with application to isolated systems”, H-O. Kreiss, O. Reula, O. Sarbach and J. Winicour, Commun. Math. Phys

“Initial boundary value problems for Einstein’s field equations and geometric uniqueness”, H. Friedrich, Gen. Rel. Grav

2009

Later among the works it cites.

“Boundary conditions for the gravitational field”, J. Winicour, Class. Quantum Grav

2012

Later among the works it cites.

“Continuum and discrete initial-boundary-value problems and Einstein’s field equations”, O. Sarbach and M. Tiglio, Living Rev. Rel

2012

Later among the works it cites.

“Boundary estimates for the elastic wave equation in almost incompressible materials”, H-O. Kreiss and N. A. Petersson. SIAM Journal of Numerical Analysis

2012

Later among the works it cites.

“Initial-boundary value problems for second order systems of partial differential equations”, H-O. Kreiss, O. E. Ortiz and N. A. Petersson, ESAIM: Mathematical Modeling and Numerical Analysis

2012

Later among the works it cites.