Comments on Gravitoelectromagnetism of Ummarino and Gallerati in "Superconductor in a weak static gravitational field" vs Other Versions

Abstract

Recently reported [Eur. Phys. J. C., $77$, 549 (2017)] gravitoelectromagnetic equations of Ummarino and Gallerati (UG) in their linearized version of General Relativity (GR) are shown to match with (a) our previously reported special relativistic Maxwellian Gravity equations in the non-relativistic limit and with (b) the non-relativistic equations derived here, when the speed of gravity $c_g$ (an undetermined parameter of the theory here) is set equal to $c$ (the speed of light in vacuum). Seen in the light of our new results, the UG equations satisfy the Correspondence Principle (cp), while many other versions of linearized GR equations that are being (or may be) used to interpret the experimental data defy the cp. Such new findings assume significance and relevance in the contexts of recent detection of gravitational waves and the gravitomagnetic field of the spinning earth and their interpretations. Being well-founded and self-consistent, the equations may be of interest and useful to researchers exploring the phenomenology of gravitomagnetism, gravitational waves and the novel interplay of gravity with different states of matter in flat space-time like UG's interesting work on superconductors in weak gravitational fields.

arXiv comment19 pages, highly improved. The authentic published version can be accessed freely at the link: https://doi.org/10.1140/epjc/s10052-017-5386-4

References in corpus (18)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Gauge Symmetry and Gravito-Electromagnetism
• Detecting Beyond-Einstein Polarizations of Continuous Gravitational Waves
• Finally, results from Gravity Probe-B
• Do Mirrors for Gravitational Waves Exist?
• Superconductor in a weak static gravitational field
• Is Einstein's equivalence principle valid for a quantum particle?
• Gravitomagnetic Moments and Dynamics of Dirac's (spin 1/2) fermions in flat space-time Maxwellian Gravity
• How accurate is the cancelation of the first even zonal harmonic of the geopotential in the present and future LAGEOS-based Lense-Thirring tests?
• The impact of the orbital decay of the LAGEOS satellites on the frame-dragging tests
• Gravitation and Special Relativity
• An axiomatic approach to Maxwell's equations
• Vector Theory of Gravity
• Photon deflection and precession of the periastron in terms of spatial gravitational fields

Cited by in corpus (10)

• Josephson AC effect induced by weak gravitational field
• Exploiting weak field gravity-Maxwell symmetry in superconductive fluctuations regime
• Quaternion algebra on 4D superfluid quantum space-time. Gravitomagnetism
• Covariant theory of gravitation in the framework of special relativity
• Possible alterations of local gravitational field inside a superconductor
• Superconductors and gravity
• Superconductor in static gravitational, electric and magnetic fields with vortex lattice
• Interaction between superconductors and weak gravitational field
• A novel covariant approach to gravito-electromagnetism
• Gravitational effects in a superconducting film struck by a laser pulse