I'm a theoretical physicist working in Mathematical Physics–General Relativity, currently based at Centro de Matemática (CMAT) –Universidade do Minho. I obtained my PhD on Physics (General Relativity) at the University of Porto in 2012. I then moved to CAMGSD–Instituto Superior Técnico, Lisbon, first as a postdoctoral FCT fellow (2013-2018), and subsequently as a contracted researcher (2018-2024), before joining CMAT in January 2025.
My research focuses mainly on the problem of motion in General Relativity:
the gravitational field produced by moving matter (“gravitomagnetism”/frame-dragging),
the equations of motion for realistic (thus extended and spinning) bodies under the action of a given field.
I have also been interested in the gravito-electromagnetic analogies that emerge in both sectors.
Email: filipecosta@cmat.uminho.pt , lfilipecosta@tecnico.ulisboa.pt
L. Filipe O. Costa, José Natário, Center of mass, spin supplementary conditions, and the momentum of spinning particles, in Equations of Motion in Relativistic Gravity, Dirk Puetzfeld, Claus Lämmerzahl, Bernard Schutz (eds.), Fundamental Theories of Physics 179, Springer, 2015, pp. 215-258.
L. Filipe O. Costa, José Natário, Relativistic effects cannot explain galactic dynamics , Phys. Rev. D 110, 064056 (2024)
L. Filipe O. Costa, F. Frutos-Alfaro, José Natário, Michael Soffel, Comment on "The Tully-Fisher law and dark matter effects derived via modified symmetries" by I. Arraut”, EPL 146, 19002 (2024)
L. Filipe O. Costa, José Natário, F. Frutos-Alfaro, Michael Soffel, Reference frames in general relativity and the galactic rotation curves, Phys. Rev. D 108, 044056 (2023)
L. Filipe O. Costa, José Natário, Frame-Dragging: Meaning, Myths, and Misconceptions, Universe 7 (10), 388 (2021)
L. Filipe O. Costa, Lode Wylleman, José Natário, Gravitomagnetism and the significance of the curvature scalar invariants, Phys. Rev. D 104, 084081 (2021)
Lode Wylleman, L. Filipe O. Costa, José Natário, Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity , Class. Quant. Grav. 38, 165009 (2021)
L. Filipe O. Costa, José Natário, N. O. Santos, Gravitomagnetism in the Lewis cylindrical metrics”, Class. Quant. Grav. 38, 055003 (2021)
L. Filipe O. Costa, Rita Franco, Vitor Cardoso, Gravitational Magnus Effect, Phys. Rev. D 98, 024026 (2018)
L. Filipe O. Costa, Georgios Lukes-Gerakopoulos, Oldrich Semerák, Spinning particles in general relativity: momentum-velocity relation for the Mathisson-Pirani spin condition, Phys. Rev. D 97, 084023 (2018)
L. Filipe O. Costa, José Natário, Miguel Zilhão, Spacetime dynamics of spinning particles - exact electromagnetic analogies, Phys. Rev. D 93, 104006 (2016)
L. Filipe O. Costa, José Natário, Gravito-electromagnetic analogies , Gen. Rel. Gravit. 46, 1792 (2014)
L. Filipe O. Costa, C. Herdeiro, J. Natário, M. Zilhão, Mathisson’s helical motions for a spinning particle: are they unphysical? Phys. Rev. D 85, 024001 (2012)
L. Filipe O. Costa, C. Herdeiro, Reference frames and the physical gravito-electromagnetic analogy , Proceedings of the IAU 5, S261 — Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Analysis” eds. S. A. Klioner, P. K. Seidelman, M. H. Soffel, vol 5, p. 31, Cambridge University Press (2009)
L. Filipe O. Costa, C. Herdeiro, Gravitoelectromagnetic analogy based on tidal tensors, Phys. Rev. D 78 024021 (2008)
L. Filipe O. Costa, José Natário, The Coriolis Field, American Journal of Physics 84, 388 (2016)
Reference frames in general relativity and the galactic rotation curves, 24th International Conference on General Relativity and Gravitation (GR24), Glasgow – Scotland, 14-18 July 2025. Slides here.
Can relativistic effects explain galactic dynamics without dark matter?, Cosmology from Home 2025, 16-27 June 2025; XVII Black Holes Workshop, Aveiro – Portugal, 19-20 December 2024; Spanish and Portuguese Relativity Meeting 2024 (EREP 2024), Coimbra – Portugal, 22-26 July 2024. Video here. Slides here.
Reference frames in General Relativity, gravitomagnetism, and the galactic missing mass problem, Seminar at Centro de Matemática (CMAT), Universidade do Minho, 14 November 2024. Slides here.
Reference frames in general relativity and the galactic rotation curves, Spanish and Portuguese Relativity Meeting 2023 (EREP2023), Bilbao – Spain, 17-21 July 2023. Slides here.
Frame-dragging: meaning, myths, and misconceptions, 23rd International Conference on General Relativity and Gravitation (GR23), Beijing - China, 3-8 July 2022. Slides here. Video here.
Gravitomagnetism in the Lewis cylindrical metrics, Invited talk at parallel session PT5 – “Dragging is never draggy: MAss and CHarge flows in GR”, sixteenth Marcel Grossmann Meeting (MG16), July 5-10 2021. Slides here. Video here.
The gravitational Magnus effect, 22th International Conference on General Relativity and Gravitation (GR22), Valencia, parallel session B1: “Relativistic astrophysics”. Slides here.
Gravitomagnetism and the significance of the curvature scalar invariants, Spanish-Portuguese Relativity Meeting 2016 (EREP2016), Lisbon - Portugal, 12-15 September 2016. Slides here.
Dynamics of extended test bodies in General Relativity—the problem of the representative worldline, Invited Seminar at the Workshop “Current Topics in Exact Solutions”, Department of Mathematical Analysis, Gent University - Belgium, 8-11 April 2014. Slides here.
Dynamics of spinning test bodies in general relativity - center of mass, momentum, and the problem of the representative worldline, Invited Seminar at Institute of Theoretical Physics, Charles University, Prague – Czech Republic, 17 December 2013. Slides here.
Spacetime dynamics of spinning particles – exact gravito-electromagnetic analogies, Invited plenary talk at 524. WE-Heraeus-Seminar “Equations of Motion in Relativistic Gravity”, Physikzentrum Bad Honnef, Bad Honnef – Germany, 17-23 February 2013. Slides here.
Mathisson's helical motions — are they unphysical?, Spanish Relativity Meeting 2011 (ERE2011), Madrid – Spain, 29th August - 2nd September 2011. Slides here.
A gravito-electromagnetic analogy based on tidal tensors, 12th Marcel Grossmann Meeting (Parallel Session MAGT3 B — Theoretical Issues in General Relativity), Paris – France, 12-18 July 2009. Slides here.
Tidal tensor approach to gravitomagnetism, Invited talk at the 1st LARES (Laser Relativity Satellite) Workshop, Rome – Italy, 3-4 July 2009. Slides here.
24th International Conference on General Relativity and Gravitation (GR24), Glasgow – Scotland, 14-18 July 2025.
Astronomical Reference frames in the framework of General Relativity, Lectures given at the Lake Como School of Advanced Studies Dark Matter, Dark Energy and the Cosmological Tensions, 23-27 June 2025. Slides here
Curso de Relatividade, (Relativity Course ) taught at 9º Escola de Verão em Física, University of Porto, Porto-Portugal, 1-6 September 2013
Espaço-Tempo: o Universo a 4 Dimensões — II Encontro Ciência e Espaço, Universidade do Minho, Braga, 4 April 2025. Slides here.
Das Forças de Newton à Ideia mais Feliz de Einstein — session comprising demonstrations, live experiments, and numerical simulations, presented at Escola Básica Conde de Oeiras (included in the activity “Engenharia e Ciência vão à Escola”, promoted by IST-Lisbon), Oeiras, 21 November 2024. Auxiliary Slides here.
Jornadas de Ciência de Arouca 2022--Mesa Redonda “Novos desafios da Ciência”, Arouca, December 2022. Video here.
Teoria da Relatividade: o Universo a 4 Dimensões, science popularization talk at Clube Gandaia - Conferências da Universidade Popular da Gandaia, Almada, Portugal, February 12, 2019. Video here.
Fórum Arouca—Inovação, empreendedorismo e conhecimento — panel "Conversas com Ciência", Arouca, Portugal, 12-16 November 2018.
O movimento dos corpos segundo a Teoria da Relatividade Geral, II Jornadas de Ciência de Arouca, Arouca-Portugal, December 16-17, 2016. Highlights in press: Diário de Aveiro, Revista Sábado. Video here.
Teoria da Relatividade Geral, I Jornadas de Ciência de Arouca, Arouca-Portugal, 18-19 December 2015. Slides here.
Rita Franco, Magnus effect in General Relativity MSc (co-Supervision with Vitor Cardoso), 2017/2018
Regular reviewer for the journals Classical and Quantum Gravity, Physical Review D, Physical Review X , General Relativity and Gravitation, The European Physical Journal C, Astronomische Nachrichten, and Universe. (Over 30 reviews to date).
Paper Reference frames in general relativity and the galactic rotation curves (2023), highlighted as an Editor's suggestion in Physical Review D.
Mathematica Notebook ancillary to this paper also highlighted in Staff Picks by Wolfram Research Editors.
Outstanding Reviewer Award by IOP in 2022, for refereeing work with the journal Classical and Quantum Gravity