A tale of analogies: A review on gravitomagnetic effects, rotating sources, observers and all that

ML Ruggiero, D Astesiano - Journal of Physics Communications, 2023 - iopscience.iop.org
Gravitoelectromagnetic analogies are somewhat ubiquitous in General Relativity, and they
are often used to explain peculiar effects of Einstein's theory of gravity in terms of familiar …

Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction

C Heinicke, FW Hehl - International Journal of Modern Physics D, 2015 - World Scientific
Starting from Newton's gravitational theory, we give a general introduction into the
spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild …

Gravitomagnetic helicity

D Bini, B Mashhoon, YN Obukhov - Physical Review D, 2022 - APS
Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity.
Gravitomagnetic helicity, in direct analogy with magnetic helicity, is a measure of entwining …

Review of the Gravitomagnetic Clock Effect

L Iorio, B Mashhoon - Annalen der Physik, 2024 - Wiley Online Library
The general relativistic gravitomagnetic clock effect, in its simplest form, consists of the non‐
vanishing difference in the orbital periods of two counter‐orbiting objects moving in opposite …

Nonlocal gravitomagnetism

B Mashhoon, FW Hehl - Universe, 2019 - mdpi.com
We briefly review the current status of nonlocal gravity (NLG), which is a classical nonlocal
generalization of Einstein's theory of gravitation based on a certain analogy with the …

Generic gravito-magnetic clock effects

KJ Li, K Wu, Z Younsi, J Teixeira… - Monthly Notices of the …, 2024 - academic.oup.com
General relativity predicts that two counter-orbiting clocks around a spinning mass differ in
the time required to complete the same orbit. The difference in these two values for the …

Potentials for general-relativistic geodesy

C Lämmerzahl, V Perlick - Physical Review D, 2024 - APS
Geodesy in a Newtonian framework is based on the Newtonian gravitational potential. The
general-relativistic gravitational field, however, is not fully determined by a single potential …

Definition of the relativistic geoid in terms of isochronometric surfaces

D Philipp, V Perlick, D Puetzfeld, E Hackmann… - Physical Review D, 2017 - APS
We present a definition of the geoid that is based on the formalism of general relativity
without approximations; ie, it allows for arbitrarily strong gravitational fields. For this reason …

Multi-messenger astrophysics of a millisecond pulsar orbiting around a massive black hole

K Wu - Universe, 2022 - mdpi.com
Extreme-mass-ratio and intermediate-mass-ratio binaries with a millisecond pulsar are
gravitational-wave sources that emit also electromagnetic radiation. The millisecond pulsars …

Post-Keplerian corrections to the orbital periods of a two-body system and their measurability

L Iorio - Monthly Notices of the Royal Astronomical Society, 2016 - academic.oup.com
The orbital motion of a binary system is characterized by various characteristic temporal
intervals which, by definition, are different from each other: the draconitic, anomalistic and …