5 papers
The harmonic oscillator, dimensional analysis and inflationary solutions
Sandro Silva e Costa
In this work, focused on the production of exact inflationary solutions using dimensional analysis, it is shown how to explain inflation from a pragmatic and basic point of view, i…
Casimir energy in finite expanding universes: a prelude
Sandro Silva e Costa, Reuven Opher
We present the Green's functions that are the solutions of the massive Klein-Gordon equation for a scalar field with non-minimal coupling to gravitation for several static and expa…
Generalizing the MOND description of rotation curves
Sandro S. e Costa, R. Opher
We present new mathematical alternatives for explaining rotation curves of spiral galaxies in the MOND context. For given total masses, it is shown that various mathematical altern…
Birth of a Closed Universe of Negative Spatial Curvature
S. S. e Costa, H. V. Fagundes
We propose a modified form of the spontaneous birth of the universe by quantum tunneling. It proceeds through topology change and inflation, to eventually become a universe with cl…
Schwarzschild solution and Mach's principle
Sandro S. Costa
The purpose of this work is to show a possible reconciliation between Mach's principle and the Schwarzschild solution, using a description of this solution in terms of a new radial…