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A note on the iterative approach to twisting type N solutions

1998/05/07 by L. Palacios, Lourdes Palacios, Jerzy Plebański +3
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Matrix Theory and Algorithms #Numerical methods for differential equations #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9805021

9 pages, Tex file; corrected typos, some rephrasing and added reference

openalex publication_date 1998/05/07 · arxiv created 1998/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the results of the computation of a twisting type N solution to vacuum Einstein equations following an iterative approach. Our results show that the higher order terms fail to provide a full exact solution with non-vanishing twist. Nevertheless, our fourth-order solution still represents a regular and twisting type N solution.

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