A Gluing Construction Regarding Point Particles in General Relativity

被引：0

作者：

Iva Stavrov Allen

机构：

[1] Lewis & Clark College,Department of Mathematical Sciences

来源：

Annales Henri Poincaré | 2010年 / 10卷

关键词：

Point Particle; Conformal Killing; Hamiltonian Constraint; Constant Mean Curvature; Conformal Killing Vector;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein constraint equations to compact solutions with potentially non-trivial cosmological constants. The result is a one-parameter family of initial data which has ordinary and scaled “point-particle” limits analogous to those of Gralla and Wald (Class Quantum Grav 25:205009, 2008). In particular, we produce examples of initial data which generalize Schwarzschild–de Sitter initial data and gluing theorems of IMP-type (Isenberg et al. in Comm Math Phys 231:529–568).

引用

页码：1437 / 1486

页数：49

共 14 条

[1]

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Pollack D.(1975)Spacetime symmetries and linearization stability of the Einstein equations I J. Math. Phys. 16 493-undefined

[8]

Gralla S.(undefined)undefined undefined undefined undefined-undefined

[9]

Wald R.(undefined)undefined undefined undefined undefined-undefined

[10]

Isenberg J.(undefined)undefined undefined undefined undefined-undefined

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