Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
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
187
views
89
downloads
Cite This
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
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
E. Kenar, “Minimal extension of Einstein’s gravity at the quartic order,” Ph.D. - Doctoral Program, Middle East Technical University, 2018.