Lifshitz uzay-zamanı çözümleri.

We first find that the four dimensional cosmological Einstein-Yang-Mills theory with $SU(2)$ gauge group admits Lifshitz spacetime as a base solution for the dynamical exponent $z > 1$. Motivated by this, we next demonstrate numerically that the field equations admit black hole solutions which behave regularly on the horizon and at spatial infinity for different horizon topologies. In the second part, using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the $mathcal{N} = (1, 1)$ Cosmological New Massive Gravity model. We find new solutions with a time-like Killing vector that are absent in the $mathcal{N} = 1$ case. An example of such a solution is a Lifshitz spacetime. The solutions described in this thesis, can be used as backgrounds for holography beyond AdS/CFT. Ph.D. - Doctoral Progra