Moir\'e Gravity and Cosmology
Alireza Parhizkar, Victor Galitski

TL;DR
This paper introduces a bi-world gravity model with a moiré field that naturally leads to inflation and addresses the cosmological constant problem by reducing vacuum energy over time.
Contribution
It proposes a ghost-free bi-world gravity model with a moiré field that reproduces Starobinsky inflation and offers insights into the cosmological constant puzzle.
Findings
The moiré field approaches a Mexican-hat minimum during evolution.
The model naturally produces Starobinsky inflationary dynamics.
Vacuum energy asymptotically approaches zero after inflation.
Abstract
The vacuum catastrophe is a fundamental puzzle, where the observed scales of the cosmological constant are many orders of magnitude smaller than the natural scales expected in the theory. This work proposes a new "bi-world" construction that may offer an insight into the cosmological constant problem. The model generally includes a -dimensional manifold with two different geometries and matter fields residing on them. In contrast to bimetric or massive theories of gravity, classically, and in the vacuum limit, the model reduces to two massless gravity theories, thereby living ghost-free. The diffeomorphism invariance and causality highly constrain the two metrics to be conformally related, . This reduces the theory to a standard single-world description, but introduces a new inherently geometrical "moir\'e field," . Interestingly, the…
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Earth Systems and Cosmic Evolution
