Gravitational waves in the Hyperspace?

TL;DR

This paper explores the potential integration of high-frequency gravitational wave analysis with Hyperspace formalism, aiming to understand manifold dimensionality and wave propagation in higher-dimensional cosmological models.

Contribution

It introduces a novel approach combining traditional gravitational wave analysis with Hyperspace formalism, including spherical solutions and propagation effects in higher dimensions.

Findings

Spherical solutions in Hyperspace with refractive index

Propagation of GWs in Hyperspace regions

Proposals for higher-dimensional propagation phenomena

Abstract

In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the Hyperspace formalism that has been recently introduced in some papers in the literature, with the goal of a better understanding of manifolds dimensionality also in a cosmological framework, is discussed. Using the concept of refractive index in the Hyperspace, spherical solutions are given and the propagation of GWs in a region of the Hyperspace with an unitary refractive index is also discussed. Propagation phenomena associated to the higher dimensionality are proposed, possibly including non-linear effects. Further and accurate studies in this direction are needed.