Period domains for gravitational instantons
Tsung-Ju Lee, Yu-Shen Lin
TL;DR
This paper proves the surjectivity of period maps for various classes of gravitational instantons, advancing the understanding of their geometric structures through uniformization theorems.
Contribution
It establishes the surjectivity of period maps for ALH*, ALG, and ALG* gravitational instantons, building on recent uniformization theorems.
Findings
Period maps for ALH*, ALG, and ALG* instantons are surjective.
Advances the classification of gravitational instantons.
Connects uniformization theorems with period map properties.
Abstract
Based on the uniformization theorems of gravitation instantons by Chen--Chen arXiv:1505.01790, Chen--Viaclovsky arXiv:2110.06498, Collins--Jacob--Lin arXiv:2111.09260, and Hein--Sun--Viaclovsky--Zhang arXiv:2111.09287, we prove that the period maps for the ALH*, ALG, and ALG* gravitational instantons are surjective.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Geophysics and Gravity Measurements