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Extensions of f(R) Gravity
Curvature-Matter Couplings and Hybrid Metric-Palatini Theory

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: November 2018
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781108584579

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  • 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
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    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

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    Product details

    • Date Published: November 2018
    • format: Adobe eBook Reader
    • isbn: 9781108584579
    • contains: 24 b/w illus. 1 table
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • 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.

  • Authors

    Tiberiu Harko, University College London
    Tiberiu Harko is Senior Honorary Research Associate in the Department of Mathematics at University College London, visiting Professor in the Department of Physics at the Sun-Yat Sen University in Guangzhou, China, and Associate Professor in the Babes-Bolyai University, Cluj, Romania. His research interests include general relativity and modified theories of gravity, cosmology, astrophysics and applied mathematics.

    Francisco S. N. Lobo, Universidade de Lisboa
    Francisco S. N. Lobo is Principal Investigator at the Science Faculty of the Universidade de Lisboa, and leads the Cosmology Group at the Institute of Astrophysics and Space Sciences. His research is focused on gravitational physics, and several of his publications have received extensive news coverage from publications including The New York Times, Scientific American and National Geographic.

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