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Geometric Obstructions on Gravity
These are notes for a short course and some talks gave at Departament of Mathematics and at Departament of Physics of Federal University of Minas Gerais, based on the author's paper arXiv:1808.09249.Expand
Constraints between equations of state and mass-radius relations in general clusters of stellar systems
In this article we prove three obstruction results on the existence of equations of state in clusters of stellar systems fulfilling mass-radius relationships and some additional bound (on the mass,Expand
On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories
In this paper we continue the program on the classification of extensions of the Standard Model of Particle Physics started in arXiv:2007.01660. We propose four complementary questions to beExpand
On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories
In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowing an arbitraryExpand
Topological and geometric obstructions on Einstein–Hilbert–Palatini theories
Abstract In this article we introduce A -valued Einstein–Hilbert–Palatini functional ( A -EHP) over a n -manifold M , where A is an arbitrary graded algebra, as a generalization of the functionalExpand
O ct 2 01 9 Geometric Regularity Results on B kα , β-Manifolds , I : Affine Connections
In this paper we consider the existence problem of affine connections on C-manifolds M whose coefficients are as regular as one needs. We show that if M admits a suitable subatlas, meaning a BExpand
Existence of B kα , β-Structures on C k-Manifolds
In this paper we introduce B α,β-manifolds as generalizations of the notion of smooth manifolds with G-structure or with k-bounded geometry. These are C-manifolds whose transition functions φji = φjExpand
Existence and Classification of Pseudo-Asymptotic Solutions for Tolman-Oppenheimer-Volkoff Systems
The Tolman--Oppenheimer--Volkoff (TOV) equations are a partially uncoupled system of nonlinear and non-autonomous ordinary differential equations which describe the structure of isotropic sphericallyExpand
An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories
In this paper we propose an axiomatization for the notion of strong emergence phenomenon between field theories depending on additional parameters, which we call parameterized field theories. WeExpand
Towards An Approach to Hilbert's Sixth Problem: A Brief Review
In 1900 David Hilbert published his famous list of 23 problems. The sixth of them-the axiomatization of Physics-remains partially unsolved. In this work we will give a gentle introduction and a briefExpand