August 31, 2026 to September 4, 2026
Auditorio José Adem, Mexico
America/Mexico_City timezone

Exact lambdavacuum solutions in higher dimensions

Not scheduled
20m
Auditorio José Adem, Mexico

Auditorio José Adem, Mexico

Av Instituto Politécnico Nacional 2508, San Pedro Zacatenco, Gustavo A. Madero, 07360, Mexico-City, Mexico
Talk

Speaker

Dr Ignacio Abraham Sarmiento Alvarado (CINVESTAV)

Description

In this work, we obtain exact solutions to the (n + 2)-dimensional Einstein Field Equations with a non-zero cosmological constant for n > 1. These solutions depend on a set of pairwise commuting constant matrices in sl(n,R) and on a constant matrix in SL(n,R). As examples, we show how to obtain the de Sitter metric, the Anti-de Sitter metric, the Birmingham metric, the Nariai metric and the Anti-Nariai metric in higher dimensions.

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