Saltar al contenido principal

Escribe una PREreview

A Metric-Based, Coordinate-Dependent Condition for Petrov Type D Spacetimes

Publicada
Servidor
Preprints.org
DOI
10.20944/preprints202511.1694.v1

To the best of the author's knowledge, this work is among the first to present a coordinate-dependent, metric-component condition that must be satisfied by all Type D spacetimes, each admitting two geodesic, shear-free null congruences. While such conditions are well known, this work provides a clear and practical formulation that enables direct verification of Type D spacetimes and the computation of metric components without assuming an ansatz. Derived from the vanishing of the Newman–Penrose spin coefficient lambda in Kerr spacetime, the condition is expressed entirely in terms of metric components and their radial derivatives, eliminating the need for tetrad construction. The condition has been validated numerically for Kerr, Kerr–Newman, Schwarzschild, and static de Sitter spacetimes. It may also guide the construction of new exact solutions or the testing of proposed ansatz with desirable geometric properties. Similar relations may exist for other spin coefficients and algebraic types of spacetimes.

Puedes escribir una PREreview de A Metric-Based, Coordinate-Dependent Condition for Petrov Type D Spacetimes. Una PREreview es una revisión de un preprint y puede variar desde unas pocas oraciones hasta un extenso informe, similar a un informe de revisión por pares organizado por una revista.

Antes de comenzar

Te pediremos que inicies sesión con tu ORCID iD. Si no tienes un iD, puedes crear uno.

¿Qué es un ORCID iD?

Un ORCID iD es un identificador único que te distingue de otros/as con tu mismo nombre o uno similar.

Comenzar ahora