Minimal extension of Einstein’s gravity at the quartic order

Download

index.pdf

Date

2018

Author

Kenar, Esin

Metadata

Show full item record

Item Usage Stats

175
views

84
downloads

We study an extension of Einstein general relativity theory at the quartic order in the curvature. The extended theory has a unique vacuum and a single massless spin-2 excitation about this vacuum, just like general relativity, hence it is called a minimal extension. The extended theory can also be obtained from a particular form of Born-Infeld gravity. We show that the Schwarzschild and Kerr black holes are not exact solutions and the Kretschmann scalar obeys a non-linear wave equation, suggesting that black hole singularities might be avoided.

Subject Keywords

Gravity., Quantum gravity., Relativity (Physics).

URI

http://etd.lib.metu.edu.tr/upload/12622660/index.pdf
https://hdl.handle.net/11511/27760

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Gravitating instantons in 3 dimensions Ferstl, A; Tekin, Bayram; Weir, V (2000-09-15) We study the Einstein-Chern-Simons gravity coupled to Yang-Mills-Higgs theory in three-dimensional Euclidean space with a cosmological constant. The classical equations reduce to Bogomol'nyi type first order equations in curved space. There are BPS type gauge theory instanton (monopole) solutions of finite action in a gravitational instanton which itself has a finite action. We also discuss gauge theory instantons in the vacuum (zero action) AdS space. In addition we point out to some exact solutions which ...
3+1 orthogonal and conformal decomposition of the einstein equation and the adm formalism for general relativity Dengiz, Suat; Tekin, Bayram; Department of Physics (2011) In this work, two particular orthogonal and conformal decompositions of the 3+1 dimensional Einstein equation and Arnowitt-Deser-Misner (ADM) formalism for general relativity are obtained. In order to do these, the 3+1 foliation of the four-dimensional spacetime, the fundamental conformal transformations and the Hamiltonian form of general relativity that leads to the ADM formalism, deﬁned for the conserved quantities of the hypersurfaces of the globally-hyperbolic asymptotically flat spacetimes, are recons...
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...
Discrete symmetries in quantum theory Taşdan, İsmail Ufuk; Pak, Namık Kemal; Department of Physics (2015) In this thesis, one of the most central problems of modern physics, namely the discrete symmetries, is discussed from various perspectives ranging from classical mechanics to relativistic quantum theory. The discrete symmetries, namely charge conjugation (C), parity (P), time reversal (T), which are connected by the so-called CPT Theorem are studied in detail. The anti-particles with a view to matter-anti-matter symmetry is also addressed and the anti-unitarity nature of the time reversal, as well as the CP...
Energy associated with the Gibbons-Maeda dilaton spacetime Aydogdu, Oktay; Salti, Mustafa; Korunur, Murat; Acikgoz, Irfan (Springer Science and Business Media LLC, 2006-12-01) In order to obtain energy and momentum (due to matter and fields including gravitation) distributions of the Gibbons-Maeda dilaton spacetime, we use the Moller energy-momentum prescription both in Einstein"s theory of general relativity and teleparallel gravity. We find the same energy distribution for a given metric in both of these different gravitation theories. Under two limits, we also calculate energy associated with two other models such as the Garfinkle-Horowitz-Strominger dilaton spacetime and the ...

Citation Formats

E. Kenar, “Minimal extension of Einstein’s gravity at the quartic order,” Ph.D. - Doctoral Program, Middle East Technical University, 2018.