29 research outputs found
Asymptotics in the time-dependent Hawking and Unruh effects
In this thesis, we study the Hawking and Unruh effects in time-dependent
situations, as registered by localised spacetimes observers in several
asymptotic situations.
(Full abstract inside document.)Comment: Thesis submitted to the University of Nottingham for the Degree of
Doctor of Philosophy. Thesis supervisor: Dr. Jorma Louko. 230 pages. 20
figure
A short review of the Casimir effect with emphasis on dynamical boundary conditions
We give a short review on the static and dynamical Casimir effects, recalling
their historical prediction, as well as their more recent experimental
verification. We emphasise on the central role played by so-called {\it
dynamical boundary conditions} (for which the boundary condition depends on a
second time derivative of the field) in the experimental verification of the
dynamical Casimir effect by Wilson et al. We then go on to review our previous
work on the static Casimir effect with dynamical boundary conditions, providing
an overview on how to compute the so-called local Casimir energy, the total
Casimir energy and the Casimir force. We give as a future perspective the
direction in which this work should be generalised to put the theoretical
predictions of the dynamical Casimir effect experiments on a rigorous footing.Comment: Contribution to the joint Proceedings of the XIX Mexican School of
Particles and Fields and the XXXV Annual Meeting of the Division of Particles
and Fields of the Mexican Society of Physics. 8 page
Mode solutions for a Klein-Gordon field in anti-de Sitter spacetime with dynamical boundary conditions of Wentzell type
We study a real, massive Klein-Gordon field in the Poincar\'e fundamental
domain of the -dimensional anti-de Sitter (AdS) spacetime, subject to a
particular choice of dynamical boundary conditions of generalized Wentzell
type, whereby the boundary data solves a non-homogeneous, boundary Klein-Gordon
equation, with the source term fixed by the normal derivative of the scalar
field at the boundary. This naturally defines a field in the conformal boundary
of the Poincar\'e fundamental domain of AdS. We completely solve the equations
for the bulk and boundary fields and investigate the existence of bound state
solutions, motivated by the analogous problem with Robin boundary conditions,
which are recovered as a limiting case. Finally, we argue that both Robin and
generalized Wentzell boundary conditions are distinguished in the sense that
they are invariant under the action of the isometry group of the AdS conformal
boundary, a condition which ensures in addition that the total flux of energy
across the boundary vanishes.Comment: 12 pages, 1 figure. In V3: refs. added, introduction and conclusions
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