Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
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
Anisotropic solutions for generalised holography
Download
index.pdf
Date
2016
Author
Devecioğlu, Deniz Olgu
Metadata
Show full item record
Item Usage Stats
88
views
30
downloads
Cite This
We first find that the four dimensional cosmological Einstein-Yang-Mills theory with $SU(2)$ gauge group admits Lifshitz spacetime as a base solution for the dynamical exponent $z > 1$. Motivated by this, we next demonstrate numerically that the field equations admit black hole solutions which behave regularly on the horizon and at spatial infinity for different horizon topologies. In the second part, using an off-shell Killing spinor analysis we perform a systematic investigation of the supersymmetric background and black hole solutions of the $mathcal{N} = (1, 1)$ Cosmological New Massive Gravity model. We find new solutions with a time-like Killing vector that are absent in the $mathcal{N} = 1$ case. An example of such a solution is a Lifshitz spacetime. The solutions described in this thesis, can be used as backgrounds for holography beyond AdS/CFT.
Subject Keywords
Space and time.
,
Non-Abelian groups.
,
Gauge fields (Physics).
,
Black holes (Astronomy).
URI
http://etd.lib.metu.edu.tr/upload/12620569/index.pdf
https://hdl.handle.net/11511/26115
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
The Kerr-Schild double copy in Lifshitz spacetime
Alçak, Gökhan; Gümüş, Mehmet Kemal; Tek, Mustafa (2021-05-01)
The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell’s theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we give a general formulation, where no simplifying assumption about the background metric is made, and show that the gauge theory source is affected by a curvature term that characterizes the deviation of the background spacetime from a constant curvature spacetime. We demons...
An obstruction to the existence of real projective structures
Coban, Hatice (Elsevier BV, 2019-09-15)
In this short note, we give an obstruction to obtain examples of higher dimensional manifolds with infinite fundamental groups, including the infinite cyclic group Z, admitting no real projective structure.
Analytical solution of the Schrodinger equation for Makarov potential with any l angular momentum
Bayrak, O.; Karakoc, M.; Boztosun, I.; Sever, Ramazan (Springer Science and Business Media LLC, 2008-11-01)
We present the analytical solution of the Schrodinger Equation for the Makarov potential within the framework of the asymptotic iteration method for any n and l quantum numbers. Energy eigenvalues and the corresponding wave functions are calculated. We also obtain the same results for the ring shaped Hartmann potential which is the special form of the non-central Makarov potential.
Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation
Farout, Mahmoud; Sever, Ramazan; Ikhdair, Sameer M. (IOP Publishing, 2020-06-01)
We obtain the quantized momentum eigenvalues P-n together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit
Aydogdu, Oktay; Sever, Ramazan (Elsevier BV, 2010-02-01)
We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
D. O. Devecioğlu, “Anisotropic solutions for generalised holography,” Ph.D. - Doctoral Program, Middle East Technical University, 2016.