It has long been known that there is a relation between boundary sineGordon theory and thermodynamics of charge neutral two-component Coulomb plasma on a unit circle. On the other hand, recently it was found that open string worldsheet description of brane decay can be related to a sequence of points of thermodynamic equilibrium of one-component plasma. Here we consider a different decay proces...

We present a compactified version of the 3-dimensional black hole recently found by considering extra identifications and determine the analytical continuation of the solution beyond its coordinate singularity by extending the identifications to the extended region of the spacetime. In the extended region of the spacetime, we find a topology change and non-trivial closed timelike curves both in...

Let (M, g) be a time-oriented Lorentzian manifold and d the Lorentzian distance on M . The function τ(q) := supp<q d(p, q) is the cosmological time function of M , where as usual p < q means that p is in the causal past of q. This function is called regular iff τ(q) <∞ for all q and also τ → 0 along every past inextendible causal curve. If the cosmological time function τ of a spacetime (M, g) ...

We show that the index of a lightlike geodesic in a conformally standard stationary spacetime (M0 × R, g) is equal to the index of its spatial projection as a geodesic of a Finsler metric F on M0 associated to (M0×R, g). Moreover we obtain the Morse relations of lightlike geodesics connecting a point p to a curve γ(s) = (q0, s) by using Morse theory on the Finsler manifold (M0, F ). To this end...

In this paper, we get the time evolution equations of curvature and torsion evolving spacelike curves in Minkowski space. Also, give inextensible evolutions timelike ruled surfaces that are produced by normal binormal vector fields curve derive necessary conditions for an inelastic surface evolution. Then, compute coefficients first second fundamental forms, Gauss mean curvatures special surfac...

In this study, we establish a novel Lorentzian interpretation of the Euler–Savary (E−S) and Disteli (Dis) formulae. Subsequently, proceed to theoretical structure for torsion line congruence which is spatial symmetry circling-point dual curve, in accordance with principles kinematic theory spherical locomotions. Further, timelike (Tlike) defined its equivalence examined. The findings contribute...

In conformally invariant quantum field theories one encounters besides the standard DHR superselection theory based on spacelike (Einstein-causal) commutation relations and their Haag duality another timelike (”Huygens”) based superselection structure. Whereas the DHR theory based on spacelike causality of observables confirmed the Lagrangian internal symmetry picture on the level of the physic...

We show the existence of timelike naked singularities which are not hidden by a horizon and which are associated to spherically symmetric (noncompact) matter sources extending from r = 0 to r = ∞. Our asymptotically flat solutions do represent observable timelike naked singularities where the scalar curvature R and volume mass density ρ(r) are both singular at r = 0. To finalize we explain the ...