Generalized Zeta Function Regularization and the Multiplicative Anomaly

A brief survey of the zeta function regularization and multiplicative anomaly issues when the associated zeta function of fluctuation operator is the regular at the origin (regular case) as well as when it is singular at the origin (singular case) is presented. In the singular case, new results for the multiplicative anomaly are presentedComment: 10 pages, submitted to the volume "Cosmology, Quantum Vacuum, and Zeta Functions", in honour of Professor Emilio Elizalde on the occasion of his 60th birthda

Bose-Einstein condensation of scalar fields on hyperbolic manifolds

The problem of Bose-Einstein condensation for a relativistic ideal gas on a 3+1 dimensional manifold with a hyperbolic spatial part is analyzed in some detail. The critical temperature is evaluated and its dependence of curvature is pointed out.Comment: LaTe

Scrambling as verum focus: German scrambling meets Romance anaphoric anteposition.

In this paper I demonstrate that in Mòcheno, a German dialect spoken in Northern Italy, scrambling, i.e. the movement of any constituent above sentential adverbs and below the finite verb, is permitted like in Continental Germanic languages. Unlike in these languages, however, leftward movement is not triggered by specificity or scope-fixing (A-scrambling) or by the need to check any topic or contrastive/new-information focus discourse-features (A’-scrambling). By relying on information structure, the syntax of modal particles and the distribution of scrambling in sentences with fronted operators, I provide evidence that scrambling in Mòcheno triggers a verum focus reading on the truth value of the sentence and involves a type of focus movement to a FocusP in CP. That scrambling can be associated with verum focus is a unicum among Continental Germanic languages, which I show follows from a reanalyis of the properties of Germanic focus scrambling under the influence of Romance anaphoric anteposition

f(R) Gravities \`a la Brans-Dicke

We extend f(R) theories via the addition of a fundamental scalar field. The approach is reminiscent of the dilaton field of string theory and the Brans-Dicke model. f(R) theories attracted much attention recently in view of their potential to explain the acceleration of the universe. Extending f(R) models to theories with scalars can be motivated from the low energy effective action of string theory. There, a fundamental scalar (the dilaton), has a non-minimal coupling to the Ricci scalar. Furthermore beyond tree level actions will contain terms having higher (or lower) powers of R compared to the canonical Einstein-Hilbert term. Theories with f(R) will contain an extra scalar degree on top of the ad-hoc dilaton and mixing of these two modes around a stable solution is a concern. In this work we show that no mixing condition mandates the form $V_{1}(\phi)f(R)+V_{2}(\phi)R^{2}$ for the action

Scale-invariant rotating black holes in quadratic gravity

Black hole solutions in pure quadratic theories of gravity are interesting since they allow to formulate a set of scale-invariant thermodynamics laws. Recently, we have proven that static scale-invariant black holes have a well-defined entropy, which characterizes equivalent classes of solutions. In this paper, we generalize these results and explore the thermodynamics of rotating black holes in pure quadratic gravity.Comment: One typo corrected. Version accepted for publication in the "Entropy" special issue: "Entropy in Quantum Gravity and Quantum Cosmology", editor R. Garattin