Extensions of f(R) Gravity

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 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.

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.