Dr. Rodrigo Avalos

Profile

Academic positionPost Doc
Research fieldsGeometry, Topology,Theoretical Physics
KeywordsGeneral Relativity, Conserved Quantities, Geometric Partial Differential Equations, Einstein Constraint Equations, Center of Mass

Current contact address

CountryGermany
CityTübingen
InstitutionEberhard Karls Universität Tübingen
InstituteMathematisches Institut

Host during sponsorship

Prof. Dr. Jan MetzgerInstitut für Mathematik, Universität Potsdam, Potsdam
Prof. Dr. Carla CederbaumMathematisches Institut, Eberhard Karls Universität Tübingen, Tübingen
Start of initial sponsorship01/10/2022

Program(s)

2021Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2022Rodrigo Avalos, Paul Laurain and Jorge H. Lira: A positive energy theorem for fourth-order gravity. In: Calculus of Variations and Partial Differential Equations, 61, 2022, 48
2022Rodrigo Avalos and Jorge H. Lira: Einstein-Type Elliptic Systems. In: Annales Henri Poincaré, 2022,
2021Rodrigo Avalos and Allan Freitas: The Pohozaev-Schoen identity on asymptotically Euclidean manifolds: Conservation laws and their applications. In: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 38, 2021, 1703-1724
2021Rodrigo Avalos and Jorge H. Lira: The Einstein Constraint Equations. Editora do IMPA, 2021
2020Rodrigo Avalos and Jorge H. Lira: Reduced thin-sandwich equations on manifolds Euclidean at infinity and on closed manifolds: Existence and multiplicity. In: Journal of Mathematical Physics, 61, 2020, 122501
2020Rodrigo Avalos: The Thin-Sandwich Problem in General Relativity. In: Francisco Ortegón Gallego and Juan Ignacio García García, Recent Advances in Pure and Applied Mathematics. Springer, 2020. 75–91
2018Rodrigo Avalos, Fabio Dahia and Carlos Romero: A Note on the Problem of Proper Time in Weyl Space-Time. In: Foundations of Physics, 48, 2018, 253-270
2018Rodrigo Avalos, Fabio Dahia and Carlos Romero: On the C^k -embedding of Lorentzian manifolds in Ricci-flat spaces. In: Journal of Mathematical Physics, 59, 2018, 052503
2018Rodrigo Avalos, Iarley P. Lobo, Thais Sanomiya and Carlos Romero: On the Cauchy problem for Weyl-geometric scalar-tensor theories of gravity. In: Journal of Mathematical Physics, 59, 2018, 062502
2017Rodrigo Avalos, Fabio Dahia and Carlos Romero: On the embedding of Weyl manifolds. In: Journal of Mathematical Physics, 58, 2017, 012502
2017Rodrigo Avalos, Fabio Dahia, Carlos Romero and Jorge H. Lira: On the proof of the thin sandwich conjecture in arbitrary dimensions. In: Journal of Mathematical Physics, 58, 2017, 102502