Families of non time-symmetric initial data sets and Penrose-like energy inequalities

Armando J. Cabrera Pacheco; Markus Wolff

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arXiv · 2310.13547

Families of non time-symmetric initial data sets and Penrose-like energy inequalities

Armando J. Cabrera Pacheco·Markus Wolff

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Abstract

Motivated by solving the constraint equations in the evolutionary form suggested by R\'acz, we propose a family of asymptotically flat initial data sets which are "asymptotically spherically symmetric" at infinity. Within this family, we obtain Penrose-like energy estimates and establish the existence of solutions for the constraint equations in the spherical symmetric and totally umbilic cases.

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BibTeX RIS

Armando J. Cabrera Pacheco, Markus Wolff. 2023-10-20. Families of non time-symmetric initial data sets and Penrose-like energy inequalities. https://arxiv.org/abs/2310.13547

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