In this paper, the information paradox on lower-dimensional Gauss–Bonnet gravity, known as a three-dimensional EGB black hole, is studied using quantum extremal island approach. For that, we connect an auxiliary flat bath system to timelike singularity spacetime and estimate entropy of hawking radiation in its asymptotic regions when gravity weak. The addition areas entanglement wedge causes ob...

In this paper, we focus on a developable surface tangent to timelike along curve in Minkowski 3-space, which is called the osculating of curve. The ruling parallel Darboux vector field. main goal paper classify singularities surface. To end, two new invariants curves are defined characterize these singularities. Meanwhile, also research singular properties surfaces near their lightlike points. ...

The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. timelike surface with a constant radius could be swept out by moving Lorentzian circle its center while following non-lightlike curve called the spine curve. In study, we have parameterized examined their geometric properties, such as striction curves, corresponding those of ruled surfaces. After...

Several stationary solutions of the low energy string equations are dualized with respect to their timelike symmetry. Many of the duals have simple physical interpretations. Those of the nonextremal three dimensional black hole and black string are negative mass black strings. The extremal cases of these, and extremal higher dimensional black strings also, give negative energy plane fronted wav...

In this paper smooth trajectories are computed in the Lie group SO(2, 1) as a motion planning problem by assigning a Frenet frame to the rigid body system to optimize the cost function of the elastic energy which is spent to track a spacelike curve in Minkowski space. In this case, the derivative of the tangent vector of the spacelike curve at a point s is taken as timelike. A method is propose...

It is shown that timelike surfaces of constant mean curvature ±1 in anti-de Sitter 3-space H 1 (−1) can be constructed from a pair of Lorentz holomorphic and Lorentz antiholomorphic null curves in PSL2R via Bryant type representation formulae. These Bryant type representation formulae are used to investigate an explicit one-to-one correspondence, the so-called Lawson-Guichard correspondence, be...

By using the Darboux frame |?, ?, ?| of a non-null curve lying on timelike surface in Minkowski 3-space, where ? is unit tangent vector curve, spacelike normal field restricted to and = ?? we define relatively normal-slant helices as curves satisfying condition that scalar product fixed spanning their axis non-constant constant. We give necessary sufficient conditions for be helices. consider s...

We introduce a new approach to the study of timelike minimal surfaces in the Lorentz-Minkowski space through a split-complex representation formula for this kind of surface. As applications, we solve the Björling problem for timelike surfaces and obtain interesting examples and related results. Using the Björling representation, we also obtain characterizations of minimal timelike surfaces of r...