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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
In this work, we derive the linearised equations of quadratic gravity from
entanglement equilibrium of local causal diamonds. Rather than starting from
the Wald entropy prescription (which depends on the gravitational Lagrangian),
we employ a model independent approach based on the logarithmic corrections to
horizon entanglement entropy. In this way, we are able to show the emergence of
linearised quadratic gravity from entanglement equilibrium without using any a
priori knowledge about gravitational dynamics. If the logarithmic correction to
entropy has a negative sign, as predicted by replica trick calculations of
entanglement entropy, we find that the quadratic gravity correction terms have
the sign necessary to avoid tachyonic instabilities of the theory.
