Rotospheres in Stationary Axisymmetric Spacetimes

Gravitomagnetic clock effect and extremely accelerated observers

“…Due to the above properties, the extremely accelerated observers were suggested [5,7,8] as perhaps the most natural standard of non-rotation (thus as a reasonable generalization of Newtonian observers at rest) in stationary axisymmetric fields. (Notice that also according to Bonnor and Steadman they seem 'to have a better claim to be called non-rotating than the LNRF'.…”

Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics

“…[92,93], and many references therein). One would like to have a split of a covariantly defined quantity (like an acceleration) into non-covariant parts, the physical meaning of which would increase our intuition of relativistic effects in astrophysical problems.…”

“…About ten years ago, the study of the behaviour of particles and gyroscopes in the Schwarzschild field revived interest in the "classical" problem of the definition of gravitational, centrifugal, and other inertial "forces" acting on particles and gyros moving on the Schwarzschild or on a more general curved backgrounds, usually axisymmetric and stationary (see e.g. [92,93], and many references therein). One would like to have a split of a covariantly defined quantity (like an acceleration) into non-covariant parts, the physical meaning of which would increase our intuition of relativistic effects in astrophysical problems.…”

Maximal acceleration is non-rotating

“…Semerák corrected a missing 2 in my Eq. (199) and sent me a closely related manuscript [38], enabling me to add nine references and correct two others. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada.…”

“…I am grateful for discussions, mostly by e-mail, with Marek Abramowicz, Brandon Carter, Gregory Cook, Fernando de Felice, Valeri Frolov, Eric Gourgoulhon, Pawel Haensel, Werner Israel, John Leibacher, Frank Pijpers, Fred Rasio, Oldřich Semerák and Saul Teukolsky. Semerák corrected a missing 2 in equation (199) and sent me a closely related manuscript [38], enabling me to add nine references and correct two others. Pijpers kindly sent me his manuscript [42] with the latest solar data.…”