5–10 Jul 2021
Europe/Rome timezone

Gravitational perturbations in the Newman-Penrose formalism: Applications to wormholes

7 Jul 2021, 08:15
15m
Talk in the parallel session Wormholes, Energy Conditions and Time Machines Wormholes, Energy Conditions and Time Machines

Speaker

Juan Carlos Del Águila Rodríguez (Centro de Investigación y de Estudios Avanzados del I.P.N.)

Description

In this work we study the problem of linear stability of gravitational perturbations in stationary and spherically symmetric wormholes. For this purpose, we employ the Newman-Penrose formalism which is well-suited for treating gravitational radiation in General Relativity, as well as the geometrical aspect of this theory. With this method we obtain a "master equation" that describes the behavior of gravitational perturbations that are of odd-parity in the Regge-Wheeler gauge. This equation is later applied to a specific class of Morris-Thorne wormholes. The analysis of the equation yielded by this class of space-times reveals that there are no unstable vibrational modes generated by the type of perturbations here studied.

Primary authors

Juan Carlos Del Águila Rodríguez (Centro de Investigación y de Estudios Avanzados del I.P.N.) Dr Tonatiuh Matos (Cinveatav-IPN)

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