Extensions of f(R) Gravity
Extensions of f(R) Gravity
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.
- Discusses outstanding challenges in the field, highlighting future research directions
- Provides a self-contained and accessible introduction to an important and rapidly developing topic in gravitational physics
- Emphasises astrophysical and cosmological applications which allows readers with minimal knowledge of general relativity to easily observe the broader relevance of the topic
Reviews & endorsements
'A very nice introduction to gravity theories and how on emight extend then in progressively more complicated ways. It is a well-written book, which provides the motivation for modified gravity theories, as well as a very clear formal development of the theories.' Alan Heavens, The Observatory
Product details
No date availableHardback
9781108428743
474 pages
254 × 180 × 30 mm
1kg
24 b/w illus. 1 table
Table of Contents
- 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.
