Reasearch Thesis
A Computational Investigation of Closed Timelike Curves and Embedded Geometry in General Relativity
Yuvan Raam Chandra · 2026
Abstract
This thesis computationally explores the causality and geometric properties of spacetimes containing Closed Timelike Curves (CTCs). By developing a reusable metric-driven workflow, we investigate models such as the Gödel metric, Van Stockum dust, and various wormhole spacetimes. This work sheds light on the Chronology Protection Conjecture, exploring the constraints nature places on macroscopic time travel and the corresponding physical paradoxes, ultimately aiming to provide stronger numerical bounds on semiclassical constraints near chronology horizons.
Key Contributions
- Comprehensive computational mapping of chronology horizons for exact solutions in GR.
- Development of a reusable, Python-based computational relativity toolchain.
- Numerical validation of geometric constraints derived from the weak energy condition in CTC-admitting spacetimes.
- Systematic analysis of lightcone structures and embedded causal pathology visualizations.
Research Focus Areas
- Closed timelike curves
- Chronology protection
- Computational GR workflows
- Metric-driven geometry
PDF Viewer