World Scientific Publishing Company Continuum Physics With Application To Cosmology

"This is a very impressive book. The subject is at the intersection of theoretical mechanics and mathematical physics. It promises to provide a strong reference to those who want to learn new topics or brush up on their background in foundational topics of physical science. The range of topics is broad and quite exhaustive. Overall, the book is heartily recommended. Many researchers would be happy to see it on their desks." Martin Ostoja-Starzewski Professor, University of Illinois at Urbana-Champaign, USA "This ambitious and rigorous book unifies continuum physics and gravitation within a modern geometric framework. Essential reading for researchers in theoretical physics and applied mathematics, it bridges rigorous formalism with physical insight into the structure and evolution of the universe." François Gay-Balmaz Associate Professor, Nanyang Technological University, Singapore This book presents a rigorous and unified treatment of generalized continuum theory and its applications to gravitation, electromagnetism, and cosmology. The text emphasizes the role of covariance and conservation laws in generalized continua, exploring symmetries, gauge invariance, and the variational principles that underpin gravitation and electromagnetism. Concepts such as torsion, curvature, and Riemann-Cartan manifolds are treated in depth, providing the foundation for modeling complex spacetime structures and the behavior of fields within them. Building on these mathematical foundations, the book applies continuum physics to cosmology and relative gravitation. It examines geodesics and autoparallels, the Einstein and Einstein-Cartan spacetimes, and the interplay between gravitational and electromagnetic fields. Advanced models incorporate torsion, isotropy, and generalized volume forms to address contemporary questions, including dark matter, dark energy, and the accelerating expansion of the universe. By bridging abstract continuum theory with cosmological applications, the book provides insight into both the local and large-scale dynamics of spacetime, including FLRW metrics, Schwarzschild and de Sitter spacetimes, and torsion-influenced cosmologies. Designed for researchers and advanced students in theoretical physics and cosmology, it offers a rigorous, integrative perspective on the mathematical structures that shape our understanding of the universe.