6 papers
Hypercubes circumscribed in hyperspheres: a constant growth ratio for volumes at large dimensions
N. Shabot-Marcos, A. Sandoval-Villalbazo
This note shows that an interesting property arises when considering the relation between the hypersphere volumes at dimensions and , if the hyperspheres circumscribe unit…
A simple model for hydromagnetic instabilities in the presence of a constant magnetic field
A. Sandoval-Villalbazo, L. S. Garcia-Colin, A. Arrieta
In this paper we study a simple model consisting of a dilute fully ionized plasma in the presence of the gravitational and a constant magnetic field to analyze the propagation of h…
Note on the Sunyaev-Zel'dovich thermal effect
A. Sandoval-Villalbazo, L. S. Garcia-Colin
In a previous publication we have derived an expression for the full distorted spectrum arising when the photons of the cosmic background radiation are absorbed and emitted by an o…
Oskar Klein, the sixth dimension and the strength of a magnetic pole
A. Sandoval-Villalbazo, L. S. Garcia-Colin, A. L. Garcia-Perciante
This work extends to six dimensions the idea first proposed by Klein regarding a closed space in the context of a fifth dimension and its link to quantum theory. The main result is…
Cosmological bulk viscosity, the Burnett regime, and the BGK equation
A. Sandoval-Villalbazo, L. S. Garcia-Colin
Einstein's field equations in FRW space-times are coupled to the BGK equation in order to derive the stress energy tensor including dissipative effects up to second order in the th…
The Sunyaev-Zel'dovich effect revisited
A. Sandoval-Villalbazo, L. S. Garcia-Colin
The well known Sunyaev-Zel'dovich (SZ) effect is reexamined using a Doppler shift type mechanism arising from the scattering of photons by electrons in an optically thin gas. The r…