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
收藏
页码:1437 / 1486
页数:49
相关论文
共 14 条
[1]  
Beig R.(2005)KIDs are non-generic Ann. Henri Poincaré 6 155-194
[2]  
Chruściel P.T.(1952)Théorème d’existence pour certains systèmes d’équations aux dérivées partialles non linéaires Acta. Math. 88 141-225
[3]  
Schoen R.(2005)Initial data engineering Comm. Math. Phys. 257 29-42
[4]  
Choquet-Bruhat Y.(2008)A rigorous derivation of gravitational self-force Class. Quantum Grav. 25 205009-568
[5]  
Chruściel P.T.(2002)Gluing and wormholes for the Einstein constraint equations Comm. Math. Phys. 231 529-450
[6]  
Isenberg J.(2003)Constant scalar curvature metrics on connected sums Int. J. Math. Sci. 7 405-498
[7]  
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