English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

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

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.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-AB82-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-0221-5
Genre: Journal Article

Files

show Files
hide Files
:
1704.00863.pdf (Preprint), 103KB
Name:
1704.00863.pdf
Description:
File downloaded from arXiv at 2017-08-01 08:48
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Winicour, Jeffrey1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

Details

show
hide
Language(s):
 Dates: 2017-04-032017-06-132017
 Publication Status: Published in print
 Pages: Clarification added
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1704.00863
DOI: 10.1088/1361-6382/aa7bd6
URI: http://arxiv.org/abs/1704.00863
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Classical and quantum gravity
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 34 (15) Sequence Number: 157001 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1