ADM formulation of generic massless Spin-2 gravity

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümü, Türkiye

Tezin Onay Tarihi: 2018

Öğrenci: MÜSLÜM DOĞRU

Danışman: BAYRAM TEKİN

Özet:

We give a review of the article [1], which uses the Dirac constraint analysis and 3 + 1 split of geometrodynamics[2] to create the Hamiltonian formulation of some gravitational actions. We apply the suggested methods to, Born-Infeld extension of New Massive Gravity, (BINMG) theory and find out the constraints and their classifications except for two constraints. The number of degrees of freedom in BINMG depends on the classification of these two constraints. We could not determine the classes of these two constraints but if some conditions, collected in chapter 4, are satisfied then BINMG is ghost-free at the nonlinear level. If these conditions are not satisfied then, BINMG has a third degree of freedom which does not appear at the linearized studies.