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Alho

Artur Carlos Ferreira Alho


Phone (351) 21
Email aalho @ math.ist.utl.pt
Office Mathematics Building, 2th floor, room 2.10
Postal Address Departamento de Matemática
Instituto Superior Técnico
Av. Rovisco Pais
1049-001 Lisbon, Portugal


Position

Research fellow under DL/57 at Center for Mathematical Analysis, Geometry and Dynamical Systems

Education

Postdoc of the Center for Mathematical Analysis, Geometry and Dynamical Systems with FCT scholarship SFRH/BPD/85194/2012 . (Supervision by Profs. José Natário (IST, Lisboa), and Simone Calogero (Chalmers, Gothenburg))

PhD (Mathematics), 2012, CMAT - Universidade do Minho with FCT scholarship SFRH/BD/48658/2008. Thesis: On the future stability of cosmological solutions of the Einstein-nonlinear scalar field system (Supervision by Profs. Filipe C. Mena, and José Natário)

Mestre em Cosmologia e Física de Partículas, 2008, IUFFyM - Universidad de Salamanca . Projecto: Perturbations of Friedmann-Robertson-Walker cosmological models (Supervision by Prof. Marc Mars)

Licenciado em Física, 2007, DFIS - Universidade de Coimbra . Seminário: Acoplamento L-S na mecânica quântica relativista (Supervision by Prof. Pedro V. Alberto)



Research Interests

Mathematical Physics

Dynamical systems in Cosmology and Astrophysics

Research Papers

Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies, (joint with Vitor Bessa and Filipe C. Mena ), arXiv:1910.04678 [gr-qc].

Static self-gravitating Newtonian elastic balls, (joint with Simone Calogero), arXiv:1907.09970 [math-ph] .

Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter, (joint with Simone Calogero), Comm. Math. Phys. 371 (3), 975-1004 (2019) .

Perturbations of the Lambda-CDM model in a dynamical systems perspective, (joint with Claes Uggla and John Wainwright), J. Cosmol. Astropart. Phys. 2019 (09), 045 .

The wave equation near flat Friedmann-Lemaître-Robertson-Walker and Kasner Big Bang singularities , (joint with Grigorios Fournodavlos and Anne T. Franzen ), J. Hyperbolic Differ. Equ. 16(2), (2019) 379–400 .

The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies, (joint with Filipe C. Mena and Juan A. Valiente-Kroon ), Adv. Theor. Math. Phys. 21(4), (2017) 857-899.

A stellar model with diffusion in general relativity, (joint with Simone Calogero), J. Geom. Phys. 120 (2017) 62–72 .

Inflationary α-attractor cosmology: A global dynamical systems perspective, (joint with Claes Uggla), Phys. Rev. D (3) 95 (8:083517) (2017) .

On dynamical systems approaches and methods in f(R) cosmology, (joint with Sante Carloni and Claes Uggla), J. Cosmol. Astropart. Phys. 2016 (08), 064 .

Simetrias e sistemas dinâmicos em Cosmologia, Bol. Soc. Port. Mat. No. 73 (2015), 103–125.

Scalar field deformations of Lambda-CDM cosmology, (joint with Claes Uggla), Phys. Rev. D 92, 103502 (2015) .

Global dynamics and asymptotics for monomial scalar field potentials and perfect fluids, (joint with Juliette Hell and Claes Uggla), Class. Quantum Grav. 32 145005 (2015) .

Dynamics of Robertson-Walker spacetimes with diffusion, (joint with Simone Calogero, Maria P. Ramos, and Ana J. Soares), Annals of Physics 354 475–488 (2015) .

Global dynamics and inflationary center manifold and slow-roll approximants, (joint with Claes Uggla), J. Math. Phys. 56, 012502 (2015) .

Covariant and gauge-invariant linear scalar perturbations in multiple scalar field cosmologies, (joint with Filipe C. Mena ), Phys. Rev. D 90, 043501 (2014) .

The problem of a self-gravitating scalar field with positive cosmological constant, (joint with João L. Costa and José Natário ), Annales Henri Poincaré 14(5), 1077-1107 (2013) .

Spherical linear waves in de Sitter spacetime, (joint with João L. Costa and José Natário ), J. Math. Phys. 53, (2012) 052501 .

Pre-inflationary homogenization of scalar field cosmologies, (joint with Filipe C. Mena ), Physics Letters B 703(5), 2011, 537–542 .

Selected Talks

"A stellar model with diffusion in general relativity", XXVI International Fall Workshop on Geometry and Physics, Braga (Portugal), 5 September 2017.

"Generic blow up for solutions of the wave equation towards Big Bang singularities", Analysis and Probability Seminar, Department of Mathematical Sciences, Chalmers University of Technology Gothenburg (Sweden), 24 May 2018.

"Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter", Mathematical Relativity Seminar, CAMGSD, Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa (Portugal), 27 February 2019.

"Spherically symmetric steady states of Newtonian self-gravitating elastic matter", Junior Analysis Seminar, Pure Analysis and PDEs, Imperial College London (UK), 15 November 2019.

"Spherically symmetric steady states of Newtonian self-gravitating elastic matter", Vienna Relativity Seminar, Gravitational Physics, University of Vienna Vienna (Austria), 28 November 2019.



Teaching

1º Semestre (2016/2017): Análise Matemática , LIGE, ISCTE-IUL.

2º Semestre (2016/2017): Optimização , LFC, ISCTE-IUL.

1º Semestre (2017/2018): Análise Matemática I , LEI, ISCTE-IUL.

2º Semestre (2017/2018): Optimização , LGM, ISCTE-IUL.

1º Semestre (2018/2019): Matemática I , LE, ISCTE-IUL.

2º Semestre (2018/2019): Complementos de Matemática , LGIL, ISCTE-IUL.

1º Semestre (2019/2020): Matemática , LGM, ISCTE-IUL.

Students

Research Initiation Grant (BI) Supervision

Vítor Bessa (June-September 2017) Global properties of solutions to Einstein's equations , 4 month BI grant from project PTDC/MAT-ANA/1275/2014. Co-supervision by Filipe Mena (CMAT, Minho), and João L. Costa (ISCTE/CAMGSD).

Ph.D. Supervision

Vítor Bessa (ongoing) Dynamical systems in General Relativity and in Modified Gravity Theories. Co-supervision by Filipe Mena (CMAT, Minho).