Casimir force is one of such macroscopic phenomenon originating from the macroscopic world governed by quantum mechanics. The simplest geometry to test and calculate the force is the two-parallel-plate system. The current status of the Casimir force in higher warped dimensional models are reviewed. The techniques and methods used in such calculations have been mentioned. The calculation of the Casimir force between two conducting neutral parallel plates are presented and given in all details for q + 1 dimensional Randall-Sundrum models.


BAYIN, SS; OZCAN, M (1993-09-15)
We reconsider the Casimir effect for the massless conformal scalar field in a ''half Einstein universe.'' This case is interesting in that it could be solved analytically by several different methods. Thus, it allows us to compare and understand effects of different approaches. We first calculate the renormalized vacuum energy by using the mode sum method and study the effects of different cutoff functions. Next, we calculate the renormalized vacuum energy-momentum tensor by using the covariant point-splitt...
Casimir force in a Lorentz violating theory
Frank, Mariana; Turan, İsmail (American Physical Society (APS), 2006-08-01)
We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in the vacuum. We provide explicit solutions for the electromagnetic field using scalar field analogy, for both the cases in which the Lorentz violating terms come from the CPT-even or CPT-odd terms. We also calculate the effects of the Lorentz violating terms for a fermion field between two parallel conducting plates and analyze the modifications of the...
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...
Minimal massive gravity: Conserved charges, excitations, and the chiral gravity limit
Tekin, Bayram (2014-10-15)
We find the excitations and construct the conserved charges (mass and angular momentum) of the recently found minimal massive gravity (MMG) in 2 + 1 dimensions in asymptotically anti-de Sitter spacetimes. The field equation of the theory does not come from an action and lacks the required Bianchi identity needed to define conserved charges. But the theory, which also provides a healthy extension of the topologically massive gravity in the bulk and boundary of spacetime, does admit conserved charges for the ...
Conserved charges in various theories of gravity
Özşahin, Hikmet; Tekin, Bayram; Department of Physics (2022-9)
The first law of black hole thermodynamics in the presence of a cosmological constant $\Lambda$ can be generalized by introducing a term containing the variation $\delta\Lambda$. Similar to other terms in the first law, which are variations of some conserved charges like mass, entropy, angular momentum, electric charge etc and it has been shown in \cite{1} that the new term has the same structure: $\Lambda$ is a conserved charge associated with a gauge symmetry. In this work, first we propose and prove the...
Citation Formats
T. Alıyev and İ. Turan, “CASIMIR FORCE IN WARPED HIGHER DIMENSIONAL MODELS SURVEY,” APPLIED AND COMPUTATIONAL MATHEMATICS, pp. 147–174, 2014, Accessed: 00, 2020. [Online]. Available: