2017/01/01 by Ercan Kilicarslan, Kilicarslan, Ercan
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1710.06731
openalex publication_date 2017/01/01 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28
In this thesis, we studied the Topologically Massive Gravity (TMG) in two\nperspectives. Firstly, by using real scalar and abelian gauge fields, we built\nthe Weyl-invariant extension of TMG which unifies cosmological TMG and\nTopologically Massive Electrodynamics (TME) with a Proca mass term. Here, we\nhave demonstrated that the presence of (Anti)-de Sitter spaces as the\nbackground solution, spontaneously breaks the local Weyl symmetry, whereas the\nradiative corrections at two-loop level breaks the symmetry in flat vacuum. The\nbreaking of Weyl symmetry fixes all the dimensionful parameters and provides\nmasses to spin-2 and spin-1 particles as in the Higgs mechanism. Secondly, we\ncalculated the tree-level scattering amplitude in the cosmological TMG plus the\nFierz-Pauli mass term in (Anti)-de Sitter spaces and accordingly found the\nrelevant weak field potential energies between two covariantly conserved\nlocalized point-like spinning sources. We have shown that in addition to\nspin-spin and mass-mass interactions, there also occurs a mass-spin interaction\nwhich is generated by the gravitational Chern-Simons term that changes the\ninitial spin of particles converting them to gravitational anyons. In addition\nto these works concerning TMG, we have also discussed the issue of local\ncausality in 2+1 dimensional gravity theories and shown that Einstein's\ngravity, TMG and the new massive gravity are causal as long as the sign of the\nNewton's constant is set to negative. We study the causality discussion with\nthe Shapiro time delay method.\n