Black hole solutions in f(R) gravity coupled with non-linear Yang-Mills field

It is shown that in the static, spherically symmetric spacetime the problem of metric f(R) gravity coupled with non-linear Yang-Mills (YM) field constructed from the Wu-Yang ansatz as source, can be solved in all dimensions. By non-linearity it is meant that the YM Lagrangian depends arbitrarily on its invariant. A particular form is considered to be in the power-law form with limit of the standard YM theory. The formalism admits black hole solutions with single or double horizons in which f(R) can be obtained, in general numerically. In 6-dimensional case we obtain an exact solution given by f(R)=\surdR gravity that couples with the YM field in a consistent manner.Comment: 12 pages, 8 figures, revised version with major changes including expanded references. Dedicated to the memory of Yavuz Nutku (1943-2010

Solutions for f(R) gravity coupled with electromagnetic field

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a deficit angle. In proper limits we obtain from our general solution the global monopole solution in f(R) gravity. The scale symmetry breaking term adopted as the nonlinear electromagnetic source adjusts the sign of the mass of the resulting black hole to be physical.Comment: 7 pages no figure, final version for publication in European Physical Journal

An Adaptive Energy Efficient Reliable Routing Protocol for Wireless Sensor Network

Wireless sensor networks are networks of tiny sensing devices for communicating in using wireless technology. Wireless sensor networks are deployed in scenarios where any plant information should be available for industrial control applications. Cross-layer interaction is most important factor to gain maximum efficiency and also able to provide difficult interaction among the layers of the protocol stack. Hence to achieve this is challenging issue because latency, energy and reliability are at odds, and also resource constrained does not support complex algorithm. Wireless sensor networks have many protocols. In this paper Breath protocol is proposed for industrial control application .To minimizing energy consumption in network breath is designed for WSNs by which nodes attached to plants must carry information via through multi hop routing to sink. To optimize energy efficiency the protocol is based on randomized routing, medium access control, and duty-cycling. Alternate model of breath protocol ensures a long lifetime of the network by making effective distribution of workload in sensor nodes. Hence it shows as a good terminology for efficient, timely data gathering for industrial control applications. DOI: 10.17762/ijritcc2321-8169.15032

Quantum singularities in a model of f(R) Gravity

The formation of a naked singularity in a model of f(R) gravity having as source a linear electromagnetic field is considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon, Dirac and Maxwell equations are used to probe the classical timelike naked singularity developed at r=0. We prove that the spatial derivative operator of the fields fails to be essentially self-adjoint. As a result, the classical timelike naked singularity remains quantum mechanically singular when it is probed with quantum fields having different spin structures.Comment: 12 pages, final version. Accepted for publication in EPJ

Space Efficient Breadth-First and Level Traversals of Consistent Global States of Parallel Programs

Enumerating consistent global states of a computation is a fundamental problem in parallel computing with applications to debug- ging, testing and runtime verification of parallel programs. Breadth-first search (BFS) enumeration is especially useful for these applications as it finds an erroneous consistent global state with the least number of events possible. The total number of executed events in a global state is called its rank. BFS also allows enumeration of all global states of a given rank or within a range of ranks. If a computation on n processes has m events per process on average, then the traditional BFS (Cooper-Marzullo and its variants) requires $\mathcal{O}(\frac{m^{n-1}}{n})$ space in the worst case, whereas ou r algorithm performs the BFS requires $\mathcal{O}(m^2n^2)$ space. Thus, we reduce the space complexity for BFS enumeration of consistent global states exponentially. and give the first polynomial space algorithm for this task. In our experimental evaluation of seven benchmarks, traditional BFS fails in many cases by exhausting the 2 GB heap space allowed to the JVM. In contrast, our implementation uses less than 60 MB memory and is also faster in many cases

Stochastic approach to inflation II: classicality, coarse-graining and noises

In this work we generalize a previously developed semiclassical approach to inflation, devoted to the analysis of the effective dynamics of coarse-grained fields, which are essential to the stochastic approach to inflation. We consider general non-trivial momentum distributions when defining these fields. The use of smooth cutoffs in momentum space avoids highly singular quantum noise correlations and allows us to consider the whole quantum noise sector when analyzing the conditions for the validity of an effective classical dynamical description of the coarse-grained field. We show that the weighting of modes has physical consequences, and thus cannot be considered as a mere mathematical artifact. In particular we discuss the exponential inflationary scenario and show that colored noises appear with cutoff dependent amplitudes.Comment: 18 pages, revtex, no figure

Long Term Survival in a Patient Following Resection for Carcinoma of the Gallbladder and Rectum

We describe a 66-year-old man who presented initially with acute cholecystitis. He was treated by cholecystostomy and biopsy of the gallbladder mucosa which revealed carcinoma of the gallbladder. Four weeks later a cholecystectomy was performed followed by resection of the common bile duct, common hepatic duct and segments IV and V of the liver and a hepaticojejunostomy. Sixteen months later an abdomino-perineal resection was performed for a moderately differentiated Dukes′ stage C carcinoma of the rectum. He is alive and without evidence of recurrence seven years later. Few patients survive for this length of time following resection of either carcinoma of the gallbladder or rectum. This case report demonstrates the value of aggressive surgical treatment in patients with early carcinoma of the gallbladder

From Instantons to Sphalerons: Time-Dependent Periodic Solutions of SU(2)-Higgs Theory

We solve numerically for periodic, spherically symmetric, classical solutions of SU(2)-Higgs theory in four-dimensional Euclidean space. In the limit of short periods the solutions approach tiny instanton-anti-instanton superpositions while, for longer periods, the solutions merge with the static sphaleron. A previously predicted bifurcation point, where two branches of periodic solutions meet, appears for Higgs boson masses larger than $3.091 M_W$.Comment: 14 pages, RevTeX with eps figure