Cosmology Beyond Einstein

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Springer, Nov 2, 2016 - Science - 231 pages
This work investigates the theoretical and cosmological implications of modifying Einstein's theory of general relativity. It explores two classes of modifications to gravity: those in which the graviton is given a small mass, and those in which Lorentz invariance is spontaneously broken. It elucidates the nature of cosmological perturbations in theories of massive bimetric gravity, including a potentially deadly instability. Theories of gravity beyond general relativity could explain why the expansion of the Universe is accelerating, obviating the need for a dark energy, and can also affect the evolution of the early Universe. Next, it investigates the nature of spacetime in massive gravity theories that contain two different spacetime metrics. Lastly, the strongest constraints to date are placed on the size of Lorentz-violating effects in the gravity sector during inflation.
 

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Contents

1 Introduction
1
2 Gravity Beyond General Relativity
21
Part I A Massive Graviton
54
3 Cosmological Stability of Massive Bigravity
55
4 Linear Structure Growth in Massive Bigravity
71
5 The Geometry of DoublyCoupled Bigravity
103
6 Cosmological Implications of DoublyCoupled Massive Bigravity
117
7 Cosmological Implications of DoublyCoupled Massive Gravity
135
8 Lorentz Violation During Inflation
155
9 Discussion and Conclusions
197
Appendix A Deriving the Bimetric Perturbation Equations
207
Appendix B Explicit Solutions for the Modified Gravity Parameters
212
Appendix C Transformation Properties of the DoublyCoupled Bimetric Action
215
Appendix D EinsteinAether Cosmological Perturbation Equations in Real Space
221
Appendix Curriculum Vitae
225
Copyright

Part II Lorentz Violation
154

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About the author (2016)

Adam Solomon is a theoretical cosmologist interested in how we can unveil the fundamental laws of physics by looking to the sky. While his research has spanned a variety of cosmological observations and fundamental theories, he has focused especially on the mystery of the accelerating expansion of the Universe, and whether this may be a sign of new gravitational physics beyond Einstein's general relativity.
He is currently a postdoctoral fellow at the Center for Particle Cosmology at the University of Pennsylvania, having obtained his bachelors at Yale University and his doctorate at the University of Cambridge.

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