On Existence of Static Metric Extensions in General Relativity

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Motivated by problems related to quasi-local mass in general relativity, we study the static metric extension conjecture proposed by R. Bartnik. We show that, for any metric on B̄ 1 that is close enough to the Euclidean metric and has reflection invariant boundary data, there always exists an asymptotically flat and scalar flat static metric extension in M = ℝ 3\B 1 such that it satisfies Bartnik's geometric boundary condition on ∂ B 1.

Original languageEnglish (US)
Pages (from-to)27-46
Number of pages20
JournalCommunications in Mathematical Physics
Volume241
Issue number1
StatePublished - Oct 2003
Externally publishedYes

Fingerprint

General Relativity
relativity
Metric
boundary conditions
scalars
Euclidean
Scalar
Boundary conditions
Invariant

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

On Existence of Static Metric Extensions in General Relativity. / Miao, Pengzi.

In: Communications in Mathematical Physics, Vol. 241, No. 1, 10.2003, p. 27-46.

Research output: Contribution to journalArticle

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