84 citations · 274 across the 11 of their papers we have counts for
11 papers
Spinning cylinders in general relativity: a canonical form for the Lewis metrics of the Weyl class
L. Filipe O. Costa, José Natário, N. O. Santos
In the main article [CQG 38 (2021) 055003], a new "canonical" form for the Lewis metrics of the Weyl class has been obtained, depending only on three parameters -- Komar mass and a…
Reply to the comment on "Frame-dragging: meaning, myths, and misconceptions" by A. Deriglazov
L. Filipe O. Costa, José Natário
It has been claimed in [arXiv:2110.09522] that the expression for the Sagnac coordinate time delay given in [arXiv:2109.14641] "differs from the standard interpretation described i…
Frame-dragging: meaning, myths, and misconceptions
L. Filipe O. Costa, José Natário
Originally introduced in connection with general relativistic Coriolis forces, the term is associated today with a plethora of effects related to the off-…
Gravitational Magnus effect
L. Filipe O. Costa, Rita Franco, Vitor Cardoso
It is well known that a spinning body moving in a fluid suffers a force orthogonal to its velocity and rotation axis --- it is called the Magnus effect. Recent simulations of spinn…
Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
L. Filipe O. Costa, Georgios Lukes-Gerakopoulos, Oldřich Semerák
The Mathisson-Papapetrou-Dixon (MPD) equations, providing the "pole-dipole" description of spinning test particles in general relativity, have to be supplemented by a condition spe…
Gravitomagnetism and the significance of the curvature scalar invariants
L. Filipe O. Costa, Lode Wylleman, José Natário
The curvature invariants have been subject of interest due to the debate concerning the notions of intrinsic/extrinsic frame-dragging, the use of the electromagnetic analogy in suc…
The Coriolis field
L. Filipe Costa, José Natário
We present a pedagogical discussion of the Coriolis field, emphasizing its not-so-well-understood aspects. We show that this field satisfies the field equations of the so-called Ne…
Center of mass, spin supplementary conditions, and the momentum of spinning particles
L. Filipe Costa, José Natário
We discuss the problem of defining the center of mass in general relativity and the so-called spin supplementary condition. The different spin conditions in the literature, their p…
Gravito-electromagnetic analogies
L. Filipe O. Costa, José Natário
We reexamine and further develop different gravito-electromagnetic (GEM) analogies found in the literature, and clarify the connection between them. Special emphasis is placed in t…
Mathisson's helical motions demystified
L. Filipe O. Costa, José Natário, Miguel Zilhão
The motion of spinning test particles in general relativity is described by Mathisson-Papapetrou-Dixon equations, which are undetermined up to a spin supplementary condition, the l…
Reference Frames and the Physical Gravito-Electromagnetic Analogy
L. Filipe O. Costa, Carlos A. R. Herdeiro
The similarities between linearized gravity and electromagnetism are known since the early days of General Relativity. Using an exact approach based on tidal tensors, we show that…