IJPAM: Volume 88, No. 4 (2013)

GEOMETRICAL HYPERCOMPLEX COUPLING BETWEEN
ELECTRIC AND GRAVITATIONAL FIELDS

J.A.P.F. Marão$^1$, M.F. Borges$^2$
$^1$Department of Mathematics
Federal University of Maranhão - São Luís-MA
65085-580, Maranhão, BRAZIL
$^2$UNESP - São Paulo State University
S.J. Rio Preto Campus
15054-000, São José do Rio Preto, BRAZIL


Abstract. The present work shows a coupling of electrical and gravitational fields through Cauchy-Riemann conditions for quaternions present in a previous paper [1]. It is also obtained an extended version of the Laplace-like equations for quaternions, now written in terms of both electric and gravitational fields.

Received: May 7, 2013

AMS Subject Classification: 30G99, 30E99

Key Words and Phrases: quaternions, Laplace's equations, quate

Download paper from here.


DOI: 10.12732/ijpam.v88i4.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 88
Issue: 4