18 citations · 88 across the 21 of their papers we have counts for
21 papers
Energetic Stability of the Solutions of the Einstein Field Equations for Spherically Symmetric Liquid Shells
Jorge L. deLyra
We interpret the exact solutions previously obtained for spherically symmetric shells of liquid fluid in General Relativity in terms of the energies involved. We show that a certai…
Exact Solution of the Einstein Field Equations for a Spherical Shell of Fluid Matter
Jorge L. deLyra, Rodrigo de A. Orselli, C. E. I. Carneiro
We determine the exact solution of the Einstein field equations for the case of a spherically symmetric shell of liquid matter, characterized by an energy density which is constant…
Complex Analysis of Real Functions VII: A Simple Extension of the Cauchy-Goursat Theorem
Jorge L. deLyra
In the context of the complex-analytic structure within the open unit disk, that was established in a previous paper, here we establish a simple generalization of the Cauchy-Goursa…
Complex Analysis of Real Functions VI: On the Convergence of Fourier Series
Jorge L. deLyra
We define a compact version of the Hilbert transform, which we then use to write explicit expressions for the partial sums and remainders of arbitrary Fourier series. The expressio…
Complex Analysis of Real Functions V: The Dirichlet Problem on the Plane
Jorge L. deLyra
In the context of the correspondence between real functions on the unit circle and inner analytic functions within the open unit disk, that was presented in previous papers, we sho…
Complex Analysis of Real Functions IV: Non-Integrable Real Functions
Jorge L. deLyra
In the context of the complex-analytic structure within the unit disk centered at the origin of the complex plane, that was presented in a previous paper, we show that a certain cl…
Complex Analysis of Real Functions III: Extended Fourier Theory
Jorge L. deLyra
In the context of the complex-analytic structure within the unit disk centered at the origin of the complex plane, that was presented in a previous paper, we show that the complete…
Complex Analysis of Real Functions II: Singular Schwartz Distributions
Jorge L. deLyra
In the context of the complex-analytic structure within the unit disk centered at the origin of the complex plane, that was presented in a previous paper, we show that singular Sch…
Complex Analysis of Real Functions I: Complex-Analytic Structure and Integrable Real Functions
Jorge L. deLyra
A complex-analytic structure within the unit disk of the complex plane is presented. It can be used to represent and analyze a large class of real functions. It is shown that any i…
Real Functions for Physics
Jorge L. deLyra
A new classification of real functions and other related real objects defined within a compact interval is proposed. The scope of the classification includes normal real functions…
Fourier Theory on the Complex Plane V: Arbitrary-Parity Real Functions, Singular Generalized Functions and Locally Non-Integrable Functions
Jorge L. deLyra
A previously established correspondence between definite-parity real functions and inner analytic functions is generalized to real functions without definite parity properties. The…
Fourier Theory on the Complex Plane IV: Representability of Real Functions by their Fourier Coefficients
Jorge L. deLyra
The results presented in this paper are refinements of some results presented in a previous paper. Three such refined results are presented. The first one relaxes one of the basic…
Fourier Theory on the Complex Plane III: Low-Pass Filters, Singularity Splitting and Infinite-Order Filters
Jorge L. deLyra
When Fourier series are employed to solve partial differential equations, low-pass filters can be used to regularize divergent series that may appear. In this paper we show that th…
Fourier Theory on the Complex Plane II: Weak Convergence, Classification and Factorization of Singularities
Jorge L. deLyra
The convergence of DP Fourier series which are neither strongly convergent nor strongly divergent is discussed in terms of the Taylor series of the corresponding inner analytic fun…
Fourier Theory on the Complex Plane I: Conjugate Pairs of Fourier Series and Inner Analytic Functions
Jorge L. deLyra
A correspondence between arbitrary Fourier series and certain analytic functions on the unit disk of the complex plane is established. The expression of the Fourier coefficients is…
Gaussian-Perturbative Calculations with a Homogeneous External Source
Jorge L. deLyra
We derive the equation of the critical curve and calculate the renormalized masses of the -symmetric model in the presence of a homogeneous external source. We do t…
On the Sums of Inverse Even Powers of Zeros of Regular Bessel Functions
Jorge L. deLyra
We provide a new, simple general proof of the formulas giving the infinite sums of the inverse even powers of the zeros of the regular Bessel functions $J_ν(…
Fluctuating Commutative Geometry
Luiz C. de Albuquerque, Jorge L. deLyra, Paulo Teotonio-Sobrinho
We use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consid…
Fluctuating Dimension in a Discrete Model for Quantum Gravity Based on the Spectral Principle
Luiz C. de Albuquerque, Jorge L. deLyra, Paulo Teotonio-Sobrinho
The spectral principle of Connes and Chamseddine is used as a starting point to define a discrete model for Euclidean quantum gravity. Instead of summing over ordinary geometries,…
Electron--Electron Bound States in QED
H. O. Girotti, M. Gomes, J. L. deLyra +3
This paper is dedicated to the study of the existence and the properties of electron-electron bound states in QED. A detailed analysis of the infrared structure of the perturba…
Attractive Forces Between Electrons in QED
H. O. Girotti, M. Gomes, J. L. deLyra +3
Vacuum polarization effects are non-perturbatively incorporated into the photon propagator to eliminate the severe infrared problems characteristic of QED. The theory is thus r…