Description
This technical work by Groah presents a comprehensive treatment of shock wave interactions in the context of general relativity. The book introduces and develops a locally inertial Glimm scheme specifically designed for analyzing spherically symmetric spacetimes where shock waves play a significant role.
The author combines concepts from relativistic fluid dynamics, hyperbolic conservation laws, and numerical analysis to address the mathematical challenges of modeling shock wave behavior in curved spacetime. This approach is particularly valuable for understanding astrophysical phenomena such as gravitational collapse, neutron star dynamics, and relativistic fluid flows.
The monograph serves as an important resource for researchers and advanced students in general relativity, mathematical physics, and computational methods. It bridges theoretical physics with practical numerical techniques, offering rigorous mathematical foundations alongside algorithmic implementations for solving complex relativistic equations.
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