List of Preprints and Publications

The papers available online in this page are taken from the gr-qc preprint archive at arXiv.org. One can also download them from the inSPIRE preprint archive.
Both websites can track citations to the papers but those can also easily be found at my google scholar webpage.

Last update: February 2024

Preprints and Publications in Journals

<53> Philippe G. LeFloch, Filipe C. Mena and The-Cang Nguyen
Global evolution in spherical symmetry for self-gravitating massive fields
Journal of Differential Equations, Vol. 394 (2024) pages 31-97, preprint online

<52> Artur Alho, Vitor Bessa and Filipe C. Mena
Dynamics of interacting monomial scalar field potentials and perfect fluids
Journal of Dynamics and Differential Equations, published online (2023), preprint online

<51> Christian Luebbe and Filipe C. Mena
Asymptotic structure and stability of spatially homogeneous space-times with a positive cosmological constant
Advances in Theoretical and Mathematical Physics, to appear, preprint online

<50> João L. Costa, Rodrigo Duarte and Filipe C. Mena
Improved decay estimates and C²-asymptotic stability of solutions to the Einstein-scalar field system in spherical symmetry
Journal of Hyperbolic Differential Equations, Vol. 20 (2023) pages 853-902, preprint online

<49> Rodrigo D. B. Fontana and Filipe C. Mena
Quasinormal modes and stability of boosted Reissner-Nordström AdS black holes
Journal of High Energy Physics, vol. 2022 (2022) 47 (27 pages) online

<48> Orfeu Bertolami, M. Margarida Lima and Filipe C. Mena
Primordial magnetic fields in theories of gravity with non-minimal coupling between curvature and matter
General Relativity and Gravitation, vol. 54 (2022) 82 (15 pages) online

<47> João L. Costa and Filipe C. Mena
Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates
Journal of Hyperbolic Differential Equations, Vol. 18 (2021) 311-341 online

<46> Artur Alho, Vitor Bessa and Filipe C. Mena
Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies
Journal of Mathematical Physics, vol. 61 (2020) 032502 (17 pages) online

<45> Paulo Luz and Filipe C. Mena
Singularity theorems and the inclusion of torsion in affine theories of gravity
Journal of Mathematical Physics, vol. 61 (2020) 012502 (11 pages) online

<44> Kyriakos Destounis, Rodrigo D. B. Fontana and Filipe C. Mena
Stability of the Cauchy horizon in accelerating black-hole spacetimes
Physical Review D, vol. 102 (2020) 104037 (7 pages) online

<43> Kyriakos Destounis, Rodrigo D. B. Fontana and Filipe C. Mena
Accelerating black holes: quasinormal modes and late-time tails
Physical Review D, vol. 102 (2020) 044005 (15 pages) online

<42> Alfonso García-Parrado and Filipe C. Mena
Gravitational radiation and the evolution of gravitational collapse in cylindrical symmetry
Differential Geometry and its Applications, Vol. 64 (2019) 29-46 online

<41> Kyriakos Destounis, Rodrigo D. B. Fontana, Filipe C. Mena and Eleftherios Papantonopoulos
Strong Cosmic Censorship in Horndeski Theory
Journal of High Energy Physics, vol. 10 (2019) 280 (22 pages) online

<40> Paulo Luz, Filipe C. Mena and Amir Hadi Ziaie
Influence of intrinsic spin in the formation of singularities for inhomogeneous effective dust space-times
Classical and Quantum Gravity, vol. 36 (2019) 015003 online

<39> Irene Brito and Filipe C. Mena
Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
Proceedings of the Royal Society A, vol. 473 (2017) 20170113 (14 pages) online

<38> Artur Alho, Filipe C. Mena and Juan Valiente-Kroon
The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
Advances in Theoretical and Mathematical Physics, vol. 21 (2017) 857-899 online

<37> Filipe C. Mena and João M. Oliveira
Radiative gravitational collapse to spherical, toroidal and higher genus black holes
Annals of Physics, vol. 387 (2017) 135-151 online

<36> Irene Brito, M. Fátima Da-Silva, Filipe C. Mena and Nico O. Santos
Cylindrically symmetric inhomogeneous dust collapse with a zero expansion component
Classical and Quantum Gravity, vol. 34 (2017) 205005 (17 pages) online

<35> Viktor Czinner and Filipe C. Mena
Relative information entropy in cosmology: The problem of information entanglement
Physics Letters B, vol. 758 (2016) 9-13 online

<34> Irene Brito, M. Fátima Da-Silva, Filipe C. Mena and Nico O. Santos
Dynamics of geodesic motion in cylindrically symmetric Lambda-vacuum spacetimes
(Special Issue: Proceedings of the XXIII International Fall Workshop on Geometry and Physics)
International Journal of Geometric Methods in Modern Physics, vol. 12 (2015) 1560014 (6 pages)

<33> Irene Brito, M. Fátima Da-Silva, Filipe C. Mena and Nico O. Santos
Geodesics in cylindrically symmetric vacuum spacetimes with a positive cosmological constant
Classical and Quantum Gravity, vol. 32 (2015) 185015 (26 pages) online

<32> Filipe C. Mena
Cylindrically symmetric models of gravitational collapse: a short review
 (Special Issue: Proceedings of the VII Black hole Workshop)
International Journal of Modern Physics D, vol. 24 (2015) 1542021 (15 pages) online

<31> Artur Alho and Filipe C. Mena
Covariant and gauge invariant linear scalar perturbations in multiple scalar field cosmologies
Physical Review D, vol. 90 (2014) 043501 (33 pages) online

<30> Irene Brito, M. Fátima Da-Silva, Filipe C. Mena and Nico O. Santos
Geodesics dynamics in the Linet-Tian spacetime with Lambda<0
General Relativity and Gravitation, vol. 46 (2014) 1681 (23 pages) online

<29> Morgan Le Delliou, Jose Mimoso, Filipe C. Mena, Michele Fontanini, Daniel C. Guariento and Elcio Abdalla
Separating expansion and collapse in general fluid models with heat flux
Physical Review D, vol. 88 (2013) 027301 (5 pages) online

<28> Marc Mars, Filipe C. Mena and Raul Vera
Review on exact and perturbative deformations of the Einstein-Straus model: uniqueness and rigidity results
(in Topical Collection: Progress in Mathematical Relativity with Applications to Astrophysics and Cosmology)
General Relativity and Gravitation, vol. 45 (2013) 2143-2173 online

<27> Jose Mimoso, Morgan Le Delliou and Filipe C. Mena
Local conditions separating expansion from collapse in spherically symmetric models with anisotropic pressures
Physical Review D, vol. 88 (2013) 043501 (16 pages) online

<26> Irene Brito, M. Fátima Da-Silva, Filipe C. Mena and Nico O. Santos
Conformally flat sources for the Linet-Tian spacetime
General Relativity and Gravitation, vol. 45 (2013) 519-530 online

<25> Irene Brito, Jaume Carot, Filipe C. Mena and Estelita L. R. Vaz
Cylindrically symmetric static solutions of the Einstein Field Equations for elastic matter
Journal of Mathematical Physics, vol. 53 (2012) 122504 (16 pages) online

<24> Filipe C. Mena
Spacetime junctions and the collapse to black holes in higher dimensions
(Invited review paper in the special issue "Recent Advances in Analytical Methods in Mathematical Physics")
Advances in Mathematical Physics, vol. 2012 (2012) 638726 (14 pages)

<23> Artur Alho and Filipe C. Mena
Pre-inflationary homogeneization of scalar field cosmologies
Physics Letters B, vol. 703 (2011) 537-542

<22> Morgan Le Delliou, Filipe C. Mena and Jose Mimoso
The role of shell crossing on the existence and stability of trapped matter shells in spherical inhomogeneous Lambda-CDM models
Physical Review D, vol. 83 (2011) 103528 (16 pages) online

<21> Filipe C. Mena, Jose Natario and Paul Tod
Formation of Higher Dimensional Topological Black Holes
Annales Henri Poincaré, vol. 10 (2010) 1359-1376 online

<20> Filipe C. Mena
On the asymptotic stability of De-Sitter spacetime: a non-linear perturbative approach
Journal of Physics A: Mathematical and Theoretical, vol. 43 (2010) 165401 (8 pages) online

<19> Jose Mimoso, Morgan Le Delliou and Filipe C. Mena
Spherically symmetric models with pressure: separating expansion from contraction and generalizing the TOV condition
Physical Review D, vol. 81 (2010) 123514 (17 pages) online

<18> Filipe C. Mena and Jose Natario
Matching stationary spacetimes
Journal of Geometry and Physics, vol. 59 (2009) 448-458 online

<17> Filipe C. Mena, Jose Natario and Paul Tod
Avoiding closed timelike curves with a collapsing rotating null dust shell
Classical and Quantum Gravity, vol 25 (2008) 045016 (6 pages) online

<16> Filipe C. Mena, Jose Natario and Paul Tod
Gravitational Collapse to Toroidal and Higher Genus asymptotically AdS Black Holes
Advances in Theoretical and Mathematical Physics, vol 12 (2008) 1163-1181 online

<15> Marc Mars, Filipe C. Mena and Raul Vera
First order perturbations of the Einstein-Straus and Oppenheimer-Snyder models
Physical Review D, vol. 78 (2008) 084022 (19 pages) online

<14> Marc Mars, Filipe C. Mena and Raul Vera
Linear perturbations of matched spacetimes: the gauge problem and background symmetries
Classical and Quantum Gravity vol 24 (2007) 3673-3689 online

<13> Filipe C. Mena, David Mulryne and Reza Tavakol
Nonlinear vector perturbations in a contracting universe
Classical and Quantum Gravity, vol 24 (2007) 2721-2734 online

<12> Filipe C. Mena and Paul Tod
Lanczos potentials and a measure of gravitational entropy in perturbed FLRW models
Classical and Quantum Gravity, vol. 24 (2007) 1733-1745 online

<11> Hideo Iguchi, Tomohiro Harada and Filipe C. Mena
Spherically symmetric perfect fluids in area-radial coordinates
Classical and Quantum Gravity, vol. 22 (2005) 841-853 online

<10> Paul Tod and Filipe C. Mena
Matching of spatially homogeneous non-stationary space-times to vaccum in cylindrical symmetry
Physical Review D, vol. 70 (2004) 104028 (9 pages) online

<9> Filipe C. Mena, Brien Nolan and Reza Tavakol
The role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse
Physical Review D, vol. 70 (2004) 084030 (10 pages) online

<8> Filipe C. Mena, Reza Tavakol and Marco Bruni
Second order perturbations of flat dust FLRW models with a cosmological constant
(Special Issue: Proceedings of the Fifth Alexander Friedman International Seminar on Gravitation and Cosmology)
International Journal of Modern Physics A, vol.17 (2002) 4239-4244

<7> Brien C. Nolan and Filipe C. Mena
Geometry and topology of the singularity in spherical dust collapse
Classical and Quantum Gravity, vol.19 (2002) 2587-2606 online

<6> Filipe C. Mena, Reza Tavakol and Raul Vera
Generalisation of the Einstein-Straus model to anisotropic settings
Physical Review D, vol.66 (2002) 044004 (8 pages) online

<5> Marco Bruni, Filipe C. Mena and Reza Tavakol
Non-linear asymptotic stability of de-Sitter
Classical and Quantum Gravity, vol.19 (2002) 23-29 online

<4> Brien C. Nolan, Filipe C. Mena and Sergio M. C. V. Goncalves
Comment on "Strenght and genericity of singularities in Tolman-Bondi-de-Sitter collapse" and a note on central singularities
Physics Letters A, vol.294 (2002) 122-125 online

<3>Filipe C. Mena and Brien C. Nolan
Non-radial geodesics in spherical dust collapse
Classical and Quantum Gravity, vol.18 (2001) 4531-4548 online

<2> Filipe C. Mena, Reza Tavakol and Pankaj S. Joshi
Initial data and spherical dust collapse
Physical Review D, vol.62 (2000) 044001 online

<1> Filipe C. Mena and Reza Tavakol
Evolution of the density contrast in inhomogeneous dust models
Classical and Quantum Gravity, vol.16, 435-452 (1999) online

Selected Publications in Conference Proceedings

<12> Marc Mars, Filipe C. Mena and Raul Vera
Cosmological gravitational waves and Einstein-Straus voids
Progress in Mathematical Relativity, Gravitation and Cosmology, Proceedings of the Spanish Relativity Meeting in Portugal (ERE2012), pgs. 85-93 (Springer Proceedings in Mathematics and Statistics, 2014)

<11> Dulce C. Pinto and Filipe C. Mena
Stability of Polydeuces orbit
Dynamics, Games and Science II, Proceedings of Dynamics and Applications - In honour of Mauricio Peixoto and David Rand, pgs. 635-638 (Springer Proceedings in Mathematics, 2011)

<10> Eurico Covas and Filipe C. Mena
Forecasting of yield curves using local state space reconstruction
Dynamics, Games and Science I, Proceedings of Dynamics and Applications - In honour of Mauricio Peixoto and David Rand, pgs. 243-252 (Springer Proceedings in Mathematics, 2011)

<9> Antonio M. Correia, Filipe C. Mena and Ana J. Soares
An application of the SIR model to the evolution of epidemics in Portugal
Dynamics, Games and Science II, Proceedings of Dynamics and Applications - In honour of Mauricio Peixoto and David Rand, pgs. 247-250 (Springer Proceedings in Mathematics, 2011)

<8> Filipe C. Mena
Non-equivalence of Newtonian and relativistic second order perturbations
American Institute of Physics Conference Proceedings, Eds. L Mornas and J Diaz-Alonso, vol. 841 (2006) 639-640

<7> Marc Mars, Filipe C. Mena and Raul Vera
First order perturbations of the Einstein-Straus model
American Institute of Physics Conference Proceedings, Eds. L Mornas and J Diaz-Alonso vol. 841 (2006) 519-522

<6> Filipe C. Mena, Reza Tavakol and Raul Vera
Generalisations of the Einstein-Straus model to cylindrically symmetric settings
Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity, edited by M. Novello, S. Perez-Bergliaffa and R. Ruffini, (Singapore: World Scientific, 2005)

<5> Filipe C. Mena, Marco Bruni and Reza Tavakol
Evolution of second order perturbations in flat dust FLRW
Proceedings of the Spanish Relativity Meeting 2002, pg 263-266, eds. Lobo A et al. (Publicaciones de la Universitat de Barcelona, 2003)

<4> Filipe C. Mena, Reza Tavakol and Raul Vera
On modifications of the Einstein-Straus model to Bianchi metrics
Proceedings of the Spanish Relativity Meeting 2001, pg. 343, eds. Fernandez-Jambrina L and Gonzalez Romero L M, (Berlin: Springer-Verlag, 2003)

<3> Filipe C. Mena and Malcolm A. H. MacCallum,
Locally discretely symmetric space-times
Proceedings of the "IX Marcel Grossmann Meeting", University La Sapienza, Rome (2000)

<2> Filipe C. Mena and Reza Tavakol,
On density contrast indicators in cosmological dust models
Proceedings of the "Fourth International Conference on Gravitation and Cosmology", Pramana Journal of Physics, vol.55 N4 (2000)

<1> Filipe C. Mena
Discrete symmetries and Bianchi metrics
Recent developments in Gravitation - Proceedings of the Spanish Relativity Meeting 99, pg. 271-275, ed. Ibanez J, (Sevicio Editorial de la Universidade del Pais Basco (2000)