Black hole initial data with a horizon of prescribed geometry

被引：6

作者：

Smith, Brian ^{[1
]}

机构：

[1] Free Univ Berlin, D-14195 Berlin, Germany

来源：

GENERAL RELATIVITY AND GRAVITATION | 2009年 / 41卷 / 05期

关键词：

Scalar curvature; Parabolic equations; Mean curvature; Reaction-diffusion equations; Black holes; Constraint equations; NONNEGATIVE SCALAR CURVATURE; QUASI-LOCAL MASS; CONSTRAINT EQUATIONS; BOUNDARIES; METRICS;

D O I：

10.1007/s10714-008-0688-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The purpose of this work is to construct asymptotically flat, time symmetric initial data with an apparent horizon of prescribed intrinsic geometry. To do this, we use the parabolic partial differential equation for prescribing scalar curvature. In this equation the horizon geometry is contained within the freely specifiable part of the metric. This contrasts with the conformal method in which the geometry of the horizon can only be specified up to a conformal factor.

引用

页码：1013 / 1024

页数：12

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