Arya Farahi

Home Page

AdS-Collapse

We present AdSCollapse, a free and open source Python program. AdSCollapse is our code to solve partial differential equations resulting from the equations of motion of gravitational collapse in asymp- totically AdS spacetimes of a minimally coupled scalar field with arbitrary potential in any dimension.

The Anti-de-Sitter/Conformal Field Theory correspondence (AdS/CFT) has been responsible for the growing interest in spacetimes with negative cosmological constant less than zero, that is, in asymptotically locally AdS spacetimes. The main content of the AdS/CFT correspondence is the identification of asymptotic data of fields in AdS with sources and vacuum expectation values of operators in the dual field theory.

The AdS/CFT correspondence was readily expanded to include field theories at finite temperature. In this context a field theory in equilibrium at finite temperature is dual to a black hole in asymptotically AdS spacetime. One very important development has been the establishment of the correspondence at the level of small fluctuations. More precisely, fluctuations of systems at equilibrium or weakly driven near equilibrium satisfy a universal relation known as the fluctuation-dissipation theorem which connects spontaneous fluctuations to the linear response. The search for similar relations for systems far from equilibrium has been an important problem for many years with applications in ion collisions at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) and also in condensed matter physics. The AdS/CFT correspondence has successfully incorporated those near-equilibrium relations and is now posed to take the next step and tackle far-from-equilibrium phenomena. To study far-from-equilibrium phenomena one needs to study the evolution of Einsteins equation with appropriate boundary conditions. Therefore the study of gravitational collapse has emerged as one of the most interesting problems in the interface of the interests of various communities including, among others, the numerical relativity, string theory, high energy particle physics and condensed matter.

The Source code is available at GitHub for free. One can use it for his/her own purpose and can even change the code, though changing the code is not recommended. For more information or having any trouble in running the code feel free to contact Arya Farahi or Leopoldo Pando Zayas . We would be happy to help you in running the code and/or get any feed back about the code or new results or any difficulty with it. Now its stable version 0.1.0 is available at GitHub.

April 2014 - Update: C++ version of the code is in progress.

 Source Code