11 research outputs found
Solar Structure in terms of Gauss' Hypergeometric Function
Hydrostatic equilibrium and energy conservation determine the conditions in
the gravitationally stabilized solar fusion reactor. We assume a matter density
distribution varying non- linearly through the central region of the Sun. The
analytic solutions of the differential equations of mass conservation,
hydrostatic equilibrium, and energy conservation, together with the equation of
state of the perfect gas and a nuclear energy generation rate
, are given in terms of Gauss' hypergeometric
function. This model for the structure of the Sun gives the run of density,
mass pressure, temperature, and nuclear energy generation through the central
region of the Sun. Because of the assumption of a matter density distribution,
the conditions of hydrostatic equilibrium and energy conservation are separated
from the mode of energy transport in the Sun.Comment: Invited Paper (A.M.Mathai) at the Fourth UN/ESA Workshop on Basic
Space Science, Cairo, Egypt, July 1994, 10 pages LaTeX,4 figures available on
reques
An Equivalence Between Momentum and Charge in String Theory
It is shown that for a translationally invariant solution to string theory,
spacetime duality interchanges the momentum in the symmetry direction and the
axion charge per unit length. As one application, we show explicitly that
charged black strings are equivalent to boosted (uncharged) black strings. The
extremal black strings (which correspond to the field outside of a fundamental
macroscopic string) are equivalent to plane fronted waves describing strings
moving at the speed of light.Comment: 10 page