The Algebraic-Hyperbolic Approach to the Linearized Gravitational Constraints 
on a Minkowski Background

Winicour, Jeffrey

doi:10.1088/1361-6382/aa7bd6

Item

ITEM ACTIONSEXPORT

Add to Basket

Please note that a newer version of this item is available:
https://pure.mpg.de/pubman/item/item_2467706_2

DetailsSummary

Released

Journal Article

The Algebraic-Hyperbolic Approach to the Linearized Gravitational Constraints on a Minkowski Background

MPS-Authors

Winicour, Jeffrey
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1704.00863.pdf
(Preprint), 103KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Winicour, J. (2017). The Algebraic-Hyperbolic Approach to the Linearized Gravitational Constraints on a Minkowski Background. Classical and quantum gravity, 34(15): 157001. doi:10.1088/1361-6382/aa7bd6.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-AB82-2

Abstract

An algebraic-hyperbolic method for solving the Hamiltonian and momentum constraints has recently been shown to be well posed for general nonlinear perturbations of the initial data for a Schwarzschild black hole. This is a new approach to solving the constraints of Einstein's equations which does not involve elliptic equations and has potential importance for the construction of binary black hole data. In order to shed light on the underpinnings of this approach, we consider its application to obtain solutions of the constraints for linearized perturbations of Minkowski space. In that case, we find the surprising result that there are no suitable Cauchy hypersurfaces in Minkowski space for which the linearized algebraic-hyperbolic constraint problem is well posed.