11,407 research outputs found
Some equations with features of digit reversal and powers
In this paper we consider integers in base 10 like , where , ,
are digits of the integer, such that ,
where is a positive integer, as well as equations , and We consider
asymptotic density of solutions. We also compare the results with ones with
bases different from 10
Conserved charges and thermodynamics of the spinning Godel black hole
We compute the mass, angular momenta and charge of the Godel-type rotating
black hole solution to 5 dimensional minimal supergravity. A generalized Smarr
formula is derived and the first law of thermodynamics is verified. The
computation rests on a new approach to conserved charges in gauge theories that
allows for their computation at finite radius.Comment: 4 pages revtex file, additional discussion on conical deficit
solutions and on alternative parameterization, additional reference
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