Properties of the Einstein Equations and Gravitational Lensing in Relativity

Duquesne University, Pittsburgh PA

Investigators

Abstract

There are two main subprojects in this theoretical gravitational physics project. On the one hand, the suitability of a new way of specifying information necessary for numerical simulations of gravity using the Einstein equations will be studied. This refers to gravitational information flowing across the boundary into the region where gravity is being simulated. On the other hand, a formula for path corrections to light rays in response to the thickness of a nearby massive object will be sought within the framework of the theory of general relativity. The first subproject is, potentially, of deep relevance to the successful simulation of gravitational wave signals expected at powerful new detectors such as the Laser Interferometer Gravitational Wave Observatory (LIGO). The detectors are expected to open a new window of research into cosmology and astrophysics by listening to gravitational waves, rather than electromagnetic waves such as visible light or x-rays. The second subproject has potential relevance to the current astrophysical practices of extracting information about the mass of the universe from deep-space pictures by advanced instruments such as the Hubble Space Telescope. Undergraduates will participate in this research.