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.
General
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