Spin-spin interactions in massive gravity and higher derivative gravity theories

Gullu, Ibrahim
Tekin, Bayram
We show that, in the weak field limit, at large separations, in sharp contrast to General Relativity (GR), all massive gravity theories predict distance-dependent spin alignments for spinning objects. For all separations GR requires anti-parallel spin orientations with spins pointing along the line joining the sources. Hence total spin is minimized in GR. On the other hand; while massive gravity at small separations (m(g)r <= 1.62) gives the same result as GR, for large separations (m(g)r > 1.62) the spins become parallel to each other and perpendicular to the line joining the objects. Namely, the potential energy is minimized when the total spin is maximized in massive gravity for large separations. We also compute the spin-spin interactions in quadratic gravity theories and find that while at large separations GR result is intact, at small separations, spins become perpendicular to the line joining sources and anti-parallel to each other. (C) 2013 The Authors. Published by Elsevier B.V. All rights reserved.


Finite mass gravitating Yang monopoles
CEBECİ, HAKAN; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (American Physical Society (APS), 2008-12-01)
We show that gravity cures the infrared divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in generic even dimensions (including time). In addition, we find exact Yang-monopole type solutions in the cosmological Einstein-Gauss-Bonnet-Yang-Mills theory and briefly discuss their properties.
Thermodynamics of Lifshitz black holes
Devecioglu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür (American Physical Society (APS), 2011-06-23)
We apply the recently extended conserved Killing charge definition of Abbott-Deser-Tekin formalism to compute, for the first time, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate the temperature and the entropy of this large family of solutions, and study and discuss the first law of black hole thermodynamics. Along the way we also identify the possible critical points of the relevant quadratic curvature gravity theories. Separately, we also apply the generalized Killin...
Chern-Simons modified general relativity: Conserved charges
Tekin, Bayram (American Physical Society (APS), 2008-01-01)
We construct the conserved charges (mass and angular momentum) of the Chern-Simons modified general relativity in asymptotically flat and anti-de Sitter (AdS) spacetimes. Our definition is based on background Killing symmetries and reduces to the known expressions in the proper limits.
Axi-dilaton gravity in D >= 4 dimensional space-times with torsion
Cebeci, H; Dereli, T (American Physical Society (APS), 2005-01-01)
We study models of axi-dilaton gravity in space-time geometries with torsion. We discuss conformal rescaling rules in both Riemannian and non-Riemannian formulations. We give static, spherically symmetric solutions and examine their singularity behavior.
Higgs mechanism for new massive gravity and Weyl-invariant extensions of higher-derivative theories
Dengiz, Suat; Tekin, Bayram (American Physical Society (APS), 2011-07-19)
New massive gravity provides a nonlinear extension of the Fierz-Pauli mass for gravitons in 2 + 1 dimensions. Here we construct a Weyl-invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy with the Higgs mechanism. In (anti)-de Sitter backgrounds, the symmetry can be broken spontaneously, but in flat backgrounds radiative corrections, at the two-loop level, break the Weyl symmetry a la Coleman-Weinberg mechanism. We also construct the Weyl-invariant extensio...
Citation Formats
I. Gullu and B. Tekin, “Spin-spin interactions in massive gravity and higher derivative gravity theories,” PHYSICS LETTERS B, pp. 268–273, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39378.