Introduction to Modified Gravity

1. Front Matter

   Pages i-viii

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2. Einstein Gravity and the Need for Its Modification

   • Albert Petrov

   Pages 1-6

3. Modifications of the Pure Gravitational Sector

   • Albert Petrov

   Pages 7-20

4. Scalar-Tensor Gravities

   • Albert Petrov

   Pages 21-36

5. Vector-Tensor Gravities and Problem of Lorentz Symmetry Breaking in Gravity

   • Albert Petrov

   Pages 37-45

6. Horava–Lifshitz Gravity

   • Albert Petrov

   Pages 47-54

7. Nonlocal Gravity

   • Albert Petrov

   Pages 55-63

8. Summary

   • Albert Petrov

   Pages 65-67

9. Back Matter

   Pages 69-72

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This book reviews various modified gravity models, including those with modifications in the pure gravitational sector; those involving extra fields, that is, scalar-tensor and vector-tensor gravity theories; gravity models with Lorentz symmetry breaking; and nonlocal gravity models. The authors discuss both classical and quantum aspects of these theories. The book is unique in bringing together all the current alternatives to Einstein gravity in one source and serves as an excellent starting point for graduate students and other newcomers seeking an overview.

• Modified gravity theories
• Cosmological models without dark matter
• Lorentz symmetry breaking
• Nonlocal gravity
• alternative theories of gravity
• nonlocal models of gravity
• modified Einstein gravity

“The main interest of this brief book lies in the search of a theory of gravity that is consistent from the quantum point of view. If this is the physics that the reader is interested in, this book will be useful as an entry point, especially for graduate students and researchers from other fields looking for an introduction before delving into the vast literature.” (Valerio Faraoni, Mathematical Reviews, April, 2022)

“All the models presented in the book are analyzed in detail, showing their strengths and weaknesses, in particular the causal coherence of the theory (analyzing the Goedel-like solutions) and the possible consistence with quantum theory (renormalizability).This book gives a good guidance for those scientists who want to face the field of alternative theories of gravity.” (Daniele Montanino, zbMATH 1470.83004, 2021)

• Department of Physics, Federal University of Paraíba, Joao Pessoa, Brazil

  Albert Petrov

Albert Petrov holds a Ph.D. in Theoretical Physics (1997, Tomsk, Russia) and is currently a Professor at the Federal University of Paraiba (Joao Pessoa, Brazil). He chiefly works in the areas of quantum field theory and gravity and has more than 100 papers in international scientific journals to his credit. His main research interests are in supersymmetry, Lorentz symmetry breaking and modified gravity.

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