Internal structure of Mars in general relativity

Abstract

On the hypothesis that Mars has a composition more or less similar to that of the earth, the present author has studied its internal structure in general relativity. Mars, which consists of two solid zones, an inner zone and an outer zone, is assumed to be in a steady state of hydrostatic equilibrium. The field equations for the two zones have been obtained in dimensionless forms suitable for the numerical integrations. Expressions for the overall radius, the mass, the ratio of central to mean density, the mass-invariant radius relation, the total energy, the proper energy density, and the gravitational potential energy have been given in convenient forms. The numerical values of the central density ρc′, central pressure Pcent, radius of the core rc, pressure at the interface pi, radius of the outer surface rs, mean density , and gravitational potential energy Ω for different values of the mass of the core mc are given.