Publications

Preprints

  • Regularity of conformal structures on closed 3-manifolds
    with A. Cogo and A. Royo Abrego, 2025.
    arXiv:2511.00178

  • Conformal Green Functions and Yamabe Metrics of Sobolev Regularity
    with A. Cogo and A. Royo Abrego, 2025.
    arXiv:2507.01674

  • Einstein Type Systems on Complete Manifolds
    with J. H. Lira and N. Marque, 2022; revised 2025.
    arXiv:2201.08347

Published Papers

2026

  • Sobolev regularity of compactified 3-manifolds and the ADM Center of Mass
    Annals of PDE, accepted for publication, 2026.
    arXiv:2403.04034 · DOI

  • Rigidity Theorems for Asymptotically Euclidean Q-singular Spaces
    with P. Laurain and N. Marque.
    Advances in Mathematics 490, 110850, 2026.
    DOI

  • On energy and its positivity in spacetimes with an expanding flat de Sitter background
    with E. Ling and A. Piubello.
    Classical and Quantum Gravity 43, 095006, 2026.
    DOI

2025

  • Energy in Fourth Order Gravity
    with J. H. Lira and N. Marque.
    Annales Henri Poincaré 26, 597–673, 2025.
    DOI

2023

  • On the Rigidity of Cosmological Space-times
    Letters in Mathematical Physics 113, 98, 2023.
    DOI

2022

  • A Positive Energy Theorem for Fourth-Order Gravity
    with P. Laurain and J. H. Lira.
    Calculus of Variations and Partial Differential Equations 61, 48, 2022.
    DOI

  • Einstein-type elliptic systems
    with J. H. Lira.
    Annales Henri Poincaré 23, 3221–3264, 2022.
    DOI

  • Positive Energy Theorems in Fourth-Order Gravity
    In Developments in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics, vol. 389, 2022.
    DOI

2021

  • The Pohozaev-Schoen Identity on Asymptotically Euclidean Manifolds: Conservation Identities and their applications
    with A. Freitas.
    Annales de l’Institut Henri Poincaré C, Analyse non linéaire 38(6), 1703–1724, 2021.
    DOI

2020

  • The Thin-Sandwich Problem in General Relativity
    In Recent Advances in Pure and Applied Mathematics, RSME Springer Series, vol. 4, 2020.

  • Reduced thin-sandwich equations on manifolds euclidean at infinity and on closed manifolds: existence and multiplicity
    with J. H. Lira.
    Journal of Mathematical Physics 61, 122501, 2020.
    DOI

2018

  • On the Cauchy Problem for Weyl-Geometric Scalar-Tensor Theories of Gravity
    with I. P. Lobo, T. Sanomiya and C. Romero.
    Journal of Mathematical Physics 59, 062502, 2018.
    DOI

  • On the C^k-embedding of Lorentzian manifolds in Ricci-flat spaces
    with F. Dahia and C. Romero.
    Journal of Mathematical Physics 59, 052503, 2018.
    DOI

  • A Note on the Problem of Proper Time in Weyl Space-Time
    with F. Dahia and C. Romero.
    Foundations of Physics 48, 253–270, 2018.
    DOI

2017

  • On the proof of the Thin Sandwich Conjecture in arbitrary dimensions
    with F. Dahia, C. Romero and J. H. Lira.
    Journal of Mathematical Physics 58, 102502, 2017.
    DOI

  • On the embedding of Weyl manifolds
    with F. Dahia and C. Romero.
    Journal of Mathematical Physics 58, 012502, 2017.
    DOI

Other Publications

  • Regularity of compactified 3-manifolds and the ADM Center of Mass
    Oberwolfach Reports, No. 36/2024, Workshop Mathematical Aspects of General Relativity.