Spacetime Entanglement with f(R) Gravity
arXiv:1403.0951 · doi:10.1007/JHEP06(2014)004
Abstract
We study the entanglement entropy of a general region in a theory of induced gravity using holographic calculations. In particular we use holographic entanglement entropy prescription of Ryu-Takayanagi in the context of the Randall-Sundrum 2 model while considering general f(R) gravity in the bulk. Showing the leading term is given by the usual Bekenstein-Hawking formula, we confirm the conjecture by Bianchi and Myers for this theory. Moreover, we calculate the first subleading term to entanglement entropy and show they agree with the Wald entropy up to extrinsic curvature terms.
arXiv comment16 pages, 2 figures
References in corpus (26)
- Quantum entanglement
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- f(R) Theories Of Gravity
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Detecting topological order in a ground state wave function
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- Towards a derivation of holographic entanglement entropy
- Generalized gravitational entropy
- On Black Hole Entropy
- Entanglement Renyi entropies in holographic theories
- Holographic Entanglement Entropy for General Higher Derivative Gravity
- Generalized entropy and higher derivative Gravity
- Diffeomorphisms and Holographic Anomalies
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- DeSitter entropy, quantum entanglement and ADS/CFT
- Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
- Entanglement Entropy, Trace Anomalies and Holography
- Distributional Geometry of Squashed Cones
- On generalized gravitational entropy, squashed cones and holography
- On Spacetime Entanglement
- On the Architecture of Spacetime Geometry
- TASI Lectures on Perturbative String Theories
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- Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
- Emergent Gravity in a Holographic Universe
- Transport in a gravity dual with a varying gravitational coupling constant
- Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools