  This thesis reviews the conjectured holographic relation between entanglement
and gravity due to Mark van Raamsdonk and collaborators. It is accounted how
the linearized Einstein equations both with and without matter in a
d+1-dimensional AdS background can be derived from the first law of
entanglement entropy in a d-dimensional CFT. This derivation builds on the
Ryu-Takayanagi formula that relates entanglement entropy for CFT subsystems to
extremal surfaces in the AdS bulk. The relation between gravity and
entanglement is also corroborated by a qualitative investigation of the duality
between the thermofield double state and the maximally extended
AdS/Schwarzschild black hole using the Bekenstein-Hawking formula. Furthermore,
this qualitative argument is generalized to generic CFT states with a classical
spacetime dual using the Ryu-Takayanagi. The thesis also reviews the most
relevant prerequisites for this holographic relation between gravity and
entanglement: Anti-de Sitter spacetime, entanglement and entanglement entropy,
gauge/gravity duality, the Ryu-Takayanagi formula, and linearized gravity.
