Extensions of f(R) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory (Cambridge Monographs on Mathematical Physics)
Cambridge University Press, 11/29/2018
EAN 9781108428743, ISBN10: 1108428746
Hardcover, 474 pages, 25.4 x 18 x 3 cm
Language: English
Recent cosmological observations have posed a challenge for traditional theories of gravity: what is the force driving the accelerated expansion of the universe? What if dark energy or dark matter do not exist and what we observe is a modification of the gravitational interaction that dominates the universe at large scales? Various extensions to Einstein's General Theory of Relativity have been proposed, and this book presents a detailed theoretical and phenomenological analysis of several leading, modified theories of gravity. Theories with generalised curvature-matter couplings are first explored, followed by hybrid metric-Palatini gravity. This timely book first discusses key motivations behind the development of these modified gravitational theories, before presenting a detailed overview of their subsequent development, mathematical structure, and cosmological and astrophysical implications. Covering recent developments and with an emphasis on astrophysical and cosmological applications, this is the perfect text for graduate students and researchers.
Preface
Part I. Review of General Relativity
1. Introduction
2. The mathematical foundations
3. The gravitational field equations
4. The solar system tests and astrophysical applications
5. Cosmology
6. f(R) gravity
Part II. Generalized Curvature-Matter Couplings in Modified Gravity
7. Introduction
8. Gravity theories with linear curvature-matter coupling
9. f(R;Lm) gravity
10. f(R
T) gravity
11. Dark matter as a curvature-matter coupling effect
12. Thermodynamical interpretation of curvature-matter coupling
13. Quantum cosmology of f(R
T) gravity
14. Modified gravity from quantum metric fluctuations
15. Discussion and conclusion
Part III. Hybrid Metric-Palatini Gravity
16. Introduction
17. The general formalism
18. Cosmological applications
19. Astrophysical applications
20. Compact stellar objects
21. Hybrid gravity traversable wormholes
22. Conclusions
References
Index.