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Introduction to Modified Gravity

Part of the SpringerBriefs in Physics Book Series

DOI: 10.1007/978-3-030-52862-1

ISBN: 978-3-030-52861-4

Publisher: Springer International Publishing - Springer Journals

Jul 28, 2020

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Chapter 1Einstein Gravity and the Need for Its Modification

Petrov, Albert

Pages: 1 –6

[In this chapter we present a brief introduction to the general relativity, describe most important classical solutions of the Einstein equations, and formulate the main problems which cannot be solved within Einstein gravity, that is, the problems of renormalizability and of cosmic acceleration.]
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Chapter 2Modifications of the Pure Gravitational Sector

Petrov, Albert

Pages: 7 –20

[In this chapter we discuss the modifications of the Einstein gravity based on introducing of additional terms to the pure gravitational sector, with the most important examples of these terms are functions of the scalar curvature itself and of higher curvature invariants, such as, for example,...
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Chapter 3Scalar-Tensor Gravities

Petrov, Albert

Pages: 21 –36

[In this chapter, we discuss scalar-tensor gravities where the extra scalar field, treated as an ingredient of a complete description of gravity itself rather than the matter field, is introduced. The main attention is devoted to the Chern-Simons modified gravity allowing for breaking of CPT, and...
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Chapter 4Vector-Tensor Gravities and Problem of Lorentz Symmetry Breaking in Gravity

Petrov, Albert

Pages: 37 –45

[In this chapter we discuss the vector-tensor gravity theories, namely, Einstein-aether gravity and bumblebee gravity, for which we discuss some exact solutions. The special attention is devoted to the problem of spontaneous breaking of Lorentz symmetry in a curved space-time which motivated...
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Chapter 5Horava–Lifshitz Gravity

Petrov, Albert

Pages: 47 –54

[In this chapter we discuss the Horava-Lifshitz gravity whose key property consists in a strong time-space asymmetry allowing to introduce higher spatial derivatives in order to improve renormalizability of the theory, and maintain only second time derivatives avoiding ghosts. For this theory, we...
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Chapter 6Nonlocal Gravity

Petrov, Albert

Pages: 55 –63

[In this chapter, we consider possible nonlocal extensions of Einstein gravity. To illustrate the advantages of nonlocal field theories, we give a short review of perturbative effects in non-gravitational nonlocal theories. Afterwards, we present examples of various nonlocal extensions of...
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Chapter 7Summary

Petrov, Albert

Pages: 65 –67

[This chapter is a Summary where we discuss perspectives of formulating a perturbatively consistent gravity model. The main attention is paid to extended supergravity representing itself as one of most promising candidates to this role, together with Horava-Lifshitz gravity and nonlocal gravity.]

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