Massive Higher Derivative Gravity Theories

İbrahim Güllü

ODTU Fizik Bölümü, Ankara

Massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in D dimensional (Anti)-de Sitter and flat spacetimes for the most general quadratic curvature  theory augmented with the Pauli-Fierz mass term. From the amplitude expression, the Newtonian potential energies are calculated for various cases. Also, from this amplitude and the propagator structure, a three dimensional unitary theory is identified which is called “New Massive Gravity” (NMG). In the second part of the talk the found three dimensional unitary theory is studied in more detail from a canonical point of view. The general higher order action is written in terms of gauge- invariant functions both in flat and de Sitter backgrounds. The analysis is extended by adding static sources, spinning masses and the gravitational Chern-Simons term separately to the theory in the case of flat spacetime. For all cases the microscopic spectrum and the masses are found. In the discussion of curved spacetime, the masses are found in the relativistic and non-relativistic limits.

Yer : MSGSÜ Bomonti Binası, Fizik Bölümü.
Tarih : 18 Nisan 2013 Perşembe, 15:00
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