English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

As the velocity of a rocket in a circular orbit near a black hole increases,the outwardly directed rocket thrust must increase to keep the rocket in itsorbit. This feature might appear paradoxical from a Newtonian viewpoint, but weshow that it follows naturally from the equivalence principle together withspecial relativity and a few general features of black holes. We also derive ageneral relativistic formalism of inertial forces for reference frames withacceleration and rotation. The resulting equation relates the real experiencedforces to the time derivative of the speed and the spatial curvature of theparticle trajectory relative to the reference frame. We show that an observerwho follows the path taken by a free (geodesic) photon will experience a forceperpendicular to the direction of motion that is independent of the observersvelocity. We apply our approach to resolve the submarine paradox, which regardswhether a submerged submarine in a balanced state of rest will sink or floatwhen given a horizontal velocity if we take relativistic effects into account.We extend earlier treatments of this topic to include spherical oceans and showthat for the case of the Earth the submarine floats upward if we take thecurvature of the ocean into account.

An intuitive approach to inertial forces and the centrifugal force paradox in general relativity