Characterization of a distorted Schwarzschild black hole using curvature invariants
One way to characterize spacetimes is by their curvature invariants. We expand upon the work of Abdelqader and Lake and apply their methods to a perturbed Schwarzschild spacetime---the Preston-Poisson spacetime. A set of curvature invariants may satisfy a syzygy from which one can construct a new dimensionless invariant which may provide an intuitive visualization of the deviation of two spacetimes. However, we point out some of the shortcomings of such an invariant. We also use the curvature invariants to obtain the approximate location of the horizon of the Preston-Poisson black hole.
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.