3,381 research outputs found
Interior perfect fluid scalar-tensor solution
We present a new exact perfect fluid interior solution for a particular
scalar-tensor theory. The solution is regular everywhere and has a well defined
boundary where the fluid pressure vanishes. The metric and the dilaton field
match continuously the external solution.Comment: 8 pages, 3 figures, LaTe
Exact solutions of Brans-Dicke wormholes in the presence of matter
A fundamental ingredient in wormhole physics is the presence of exotic
matter, which involves the violation of the null energy condition. Although a
plethora of wormhole solutions have been explored in the literature, it is
useful to find geometries that minimize the usage of exotic matter. In this
work, we find exact wormhole solutions in Brans-Dicke theory where the normal
matter threading the wormhole satisfies the null energy condition throughout
the geometry. Thus, the latter implies that it is the effective stress-energy
tensor containing the scalar field, that plays the role of exotic matter, that
is responsible for sustaining the wormhole geometry. More specifically, we
consider a zero redshift function and a particular choice for the scalar field
and determine the remaining quantities, namely, the stress-energy tensor
components and the shape function. The solution found is not asymptotically
flat, so that this interior wormhole spacetime needs to be matched to an
exterior vacuum solution.Comment: 7 pages, 3 figure
Neutrino oscillations in matter of varying density
We consider two-family neutrino oscillations in a medium of
continuously-varying density as a limit of the process in a series of
constant-density layers. We construct analytic expressions for the conversion
amplitude at high energies within a medium with a density profile that is
piecewise linear. We compare some cases to understand the type of effects that
depend on the order of the material traversed by a neutrino beam.Comment: 10 page
Thirty-two Goldbach Variations
We give thirty-two diverse proofs of a small mathematical gem--the
fundamental Euler sum identity zeta(2,1)=zeta(3) =8zeta(\bar 2,1). We also
discuss various generalizations for multiple harmonic (Euler) sums and some of
their many connections, thereby illustrating both the wide variety of
techniques fruitfully used to study such sums and the attraction of their
study.Comment: v1: 34 pages AMSLaTeX. v2: 41 pages AMSLaTeX. New introductory
material added and material on inequalities, Hilbert matrix and Witten zeta
functions. Errors in the second section on Complex Line Integrals are
corrected. To appear in International Journal of Number Theory. Title change
ACMECS Bioenergy 2015. Three Years of Effort Towards a Regional Bioenergy Network
Global change, including climate change, societal dynamics, economic challenges, environmental protection and the need to improve livelihoods and to reduce poverty have led to a situation where national solutions must be embedded in regional strategies. The ACMECS countries Lao PDR, Cambodia, Myanmar, Thailand and Vietnam have a long tradition in collaboration across borders. Despite the cultural heterogeneity and different status of development, it can be a great advantage to address global challenges together.
Biomass is seen as a promising resource for energy and industrial raw materials, but the challenge is that biomass production requires land and increased production can cause conflicts and environmental degradation. The increased demand for biomass in the recent years, coupled with the fact that the balance between domestic, regional and foreign demand for biomass is changing, requires careful attention.
As a consequence of these developments, the Kasetsart Agricultural and Agro-Industrial Product Improvement Institute (KAPI) of the Kasetsart University, Thailand initiated a process to establish a regional bioenergy network. International experts, including members of the IUFRO Task Force "Sustainable Forest Biomass Network (SFBN)", have acknowledged the significant progress made over the last few years.
This report is jointly published with the IUFRO Occasional Paper series, Vol. 31 (http://www.iufro.org/publications/series/occasional-papers/article/2016/04/20/occasional-paper-31-acmecs-bioenergy-2015-three-years-of-efforts-towards-a-regional-bioenergy-n/
Harmonic Sums and Mellin Transforms up to two-loop Order
A systematic study is performed on the finite harmonic sums up to level four.
These sums form the general basis for the Mellin transforms of all individual
functions of the momentum fraction emerging in the quantities of
massless QED and QCD up to two--loop order, as the unpolarized and polarized
splitting functions, coefficient functions, and hard scattering cross sections
for space and time-like momentum transfer. The finite harmonic sums are
calculated explicitly in the linear representation. Algebraic relations
connecting these sums are derived to obtain representations based on a reduced
set of basic functions. The Mellin transforms of all the corresponding Nielsen
functions are calculated.Comment: 44 pages Latex, contract number adde
The ATLAS SCT grounding and shielding concept and implementation
This paper presents a complete description of Virgo, the French-Italian gravitational wave detector. The detector, built at Cascina, near Pisa (Italy), is a very large Michelson interferometer, with 3 km-long arms. In this paper, following a presentation of the physics requirements, leading to the specifications for the construction of the detector, a detailed description of all its different elements is given. These include civil engineering infrastructures, a huge ultra-high vacuum (UHV) chamber (about 6000 cubic metres), all of the optical components, including high quality mirrors and their seismic isolating suspensions, all of the electronics required to control the interferometer and for signal detection. The expected performances of these different elements are given, leading to an overall sensitivity curve as a function of the incoming gravitational wave frequency. This description represents the detector as built and used in the first data-taking runs. Improvements in different parts have been and continue to be performed, leading to better sensitivities. These will be detailed in a forthcoming paper
On Physical Equivalence between Nonlinear Gravity Theories
We argue that in a nonlinear gravity theory, which according to well-known
results is dynamically equivalent to a self-gravitating scalar field in General
Relativity, the true physical variables are exactly those which describe the
equivalent general-relativistic model (these variables are known as Einstein
frame). Whenever such variables cannot be defined, there are strong indications
that the original theory is unphysical. We explicitly show how to map, in the
presence of matter, the Jordan frame to the Einstein one and backwards. We
study energetics for asymptotically flat solutions. This is based on the
second-order dynamics obtained, without changing the metric, by the use of a
Helmholtz Lagrangian. We prove for a large class of these Lagrangians that the
ADM energy is positive for solutions close to flat space. The proof of this
Positive Energy Theorem relies on the existence of the Einstein frame, since in
the (Helmholtz--)Jordan frame the Dominant Energy Condition does not hold and
the field variables are unrelated to the total energy of the system.Comment: 37 pp., TO-JLL-P 3/93 Dec 199
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