Rotational Metric: A Solution to Einstein's Clock-Rate Problem and Its Magnetospheric Applications
arXiv:2503.20501 · doi:10.1088/1674-1137/add9fb
Abstract
The rotational metric provides an exact solution to Einstein's clock-rate problem in curved spacetime, specifically, whether time flows more slowly at the equator of a compact object such as a neutron star than at its poles. It features a curvature singularity, an event horizon, a potentially evolving ergosphere, a rigidly-rotating normal space, and two stationary limit surfaces. Although derived from the Schwarzschild metric through rotational transformations, it includes an additional ergosphere. Given the equivalence of inertia and gravity, this demonstrates how non-inertial transformations, such as rotational transformations, can introduce new spacetime structures into a gravitational system. In particular, the additional physical degrees of freedom carried by rotational transformations are `eaten' by the gravitational system to form an additional ergosphere. Furthermore, the rotational metric effectively models a rigidly-rotating gravitational system and is applicable for describing rotationally-induced gravitational effects in various rotating magnetospheres.
13 pages, 1 figure
References in corpus (13)
- Magnetars
- A fast radio burst associated with a Galactic magnetar
- A bright millisecond-duration radio burst from a Galactic magnetar
- INTEGRAL discovery of a burst with associated radio emission from the magnetar SGR 1935+2154
- HXMT Identification of a non-thermal X-ray burst from SGR J1935+2154 and with FRB 200428
- Discovery of Fast X-ray Oscillations During the 1998 Giant Flare from SGR 1900+14
- A peculiar hard X-ray counterpart of a Galactic fast radio burst
- Detection with RHESSI of high frequency X-ray oscillations in the tail of the 2004 hyperflare from SGR 1806-20
- The discovery, monitoring and environment of SGR J1935+2154
- Geometrization of light bending and its application to SdSw spacetime
- Tidally-induced Magnetar Super Flare at the Eve of Coalescence with Its Compact Companion
- Light trajectory and shadow shape in the rotating naked singularity
- Dark Energy on Astrophysical Scales and Its Detection in the Milky Way