Problems of Massive Gravity

Boybeyi, Töre Deniz
In this thesis, the general properties of massive gravitation theories are outlined. Particular attention is given to the van Dam-Veltman-Zakharov discontinuity which arises in the massless limit of massive theories. Also, the observational, holographic, and thermodynamic properties of these theories are mentioned.


Massive higher derivative gravity theories
Güllü, İbrahim; Tekin, Bayram; Department of Physics (2011)
In this thesis 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 structu...
Basics of massive spin-2 theories
Kürekçi, Şahin; Tekin, Bayram; Department of Physics (2015)
In this thesis, basics of massive spin-2 theories are studied. The theory of general relativity cannot explain some problems in very small and in very large scales and it needs a modification. The way of modifying general relativity by giving mass to the propagating particle graviton is called massive gravity. The first correct massive gravity theory is the linear theory written by Fierz and Pauli. However, later on it has been found that this theory does not match up with the physical predictions of genera...
Critical points of D-dimensional extended gravities
Deser, S.; Liu, Haishan; Lue, H.; Pope, C. N.; Sisman, Tahsin Cagri; Tekin, Bayram (2011-03-17)
We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D < 4 there are in general two distinct (anti)-de Sitter vacua. We show that, for an appropriate choice of the parameters, there exists a critical point for one of the vacua, with only massless tensor, but neither massive tensor nor scalar, gravitons. At criticality, the linearized excitations have formally vanishing energy (as do black hole solutions). A further restriction of the paramet...
Bachian gravity in three dimensions
Tek, Mustafa; Tekin, Bayram; Department of Physics (2019)
Modified theories in 3-dimensions such as the topologically massive gravity (TMG), new massive gravity (NMG) or Born-Infeld extension of NMG arise from the vari-ations of diffeomorphism invariant actions; hence the resulting field equations aredivergence free. Namely, the rank two tensor defining the field equations satisfy aBianchi identity for all smooth metrics. However there are some recently constructedtheories that do not identically satisfy Bianchi identities for all metrics, but only forthe soluti...
Linearization in stability in gravity theories
Altaş Kiracı, Emel; Tekin, Bayram; Department of Physics (2018)
In a nonlinear theory, such as gravity, physically relevant solutions are usually hard to find. Therefore, starting from a background exact solution with symmetries, one uses the perturbation theory, which albeit approximately, provides a lot of information regarding a physical solution. But even this approximate information comes with a price: the basic premise of a perturbative solution is that it should be improvable. Namely, by going to higher order perturbation theory, one should be able to improve and ...
Citation Formats
T. D. Boybeyi, “Problems of Massive Gravity,” M.S. - Master of Science, Middle East Technical University, 2021.