Faculty Advisor

Humi, Mayer

Faculty Advisor

Lew Yan Voon, Lok C.

Abstract

This investigates the gravitational fields outside of nearly-spherical azimuthally symmetric homogeneous bodies in general relativity through use of perturbation theory. The classical gravitational potential of a general azimuthal perturbation of a sphere is derived. Then, Einstein's field equations in matter-free space are linearized and separated for the relativistic case. Finally, the gravitational field of a nearly-spherical oblate spheroid is found in the form of a metric for space-time.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2004

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

Advisor Department

Physics

Advisor Program

Mathematical Sciences

Advisor Program

Physics

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