7 citations · 13 across the 5 of their papers we have counts for
9 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…
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…