Continuum Physics With Application To Cosmology
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A01=Lalaonirina Rakotomanana Ravelonarivo
Active diffeomorphism
Author_Lalaonirina Rakotomanana Ravelonarivo
Category=PHR
Category=PHU
Chern-Simons Current
Cosmological Constant
Covariance
Curvature
Dark Energy
Dark Matter
Dual Electromagnetism
Einstein-Palatini Lagrangian
Electromagnetic Helicity
Electromagnetism
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FLRW Spacetime
General Covariance Principle
Generalized Continuum
Relative Gravitation
Riemann-Cartan Manifold
Torsion
Universe Expansion
Yang-Mills Lagrangian
Product details
- ISBN 9789819828616
- Publication Date: 16 May 2026
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
