Entanglement entropy in Horndeski gravity

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Santos Fabiano F.

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Journal Paper

Paper Information

Journal: Journal of Holography Applications in Physics Year:2022 | Volume:2 | Issue:2 Page(s): 1-14

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Information Journal Paper

Title

Entanglement entropy in Horndeski gravity

Author(s)

Santos Fabiano F. | Issue Writer Certificate

Keywords

Holographic Entanglement

Horndeski Gravity

Field Theory

Abstract

In this work, we explore the Holographic Entanglement entropy with an infinite strip region of the boundary in Horndeski Gravity. In our prescription we consider the spherically and planar topologies black holes in the AdS4/CFT3 scenario. In such framework, we show the behavior of the entanglement entropy in function of the Horndeski parameters. Such parameters modify the information store of subsystem A, especially when the parameter $gamma$ increases the information about the subsystem will also increase or decrease when it decreases. Thus, with this scheme we compute the “first law of entanglement thermodynamics” in Horndeski Gravity and we show that a very small subsystem obeys the analogous property of the first law of thermodynamics if we excite the system.

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