منابع مشابه
Symmetry-seeking spacetime coordinates
One of the fundamental problems in numerically constructing spacetimes without symmetries (3D numerical relativity) is the choice of suitable coordinates. The task is not just to find a good coordinate system for a known spacetime, but the spacetime is not actually known when the calculation begins, so that one has to construct the coordinate system along with the spacetime. In principle, once ...
متن کاملSchwarzschild Spacetime without Coordinates
We discuss how to construct the full Schwarzschild (Kruskal-Szekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric. email: [email protected]
متن کاملDuality of Coordinates and Matter Fields in Curved Spacetime
We show that there exists a duality between the local coordinates and the solutions of the Klein-Gordon equation in curved spacetime in the same sense as in the Minkowski spacetime. However, the duality in curved spacetime does not have the same generality as in flat spacetime and it holds only if the system satisfies certain constraints. We derive these constraints and the basic equations of d...
متن کاملPerturbations of the Kerr spacetime in horizon penetrating coordinates
Manuela Campanelli, Gaurav Khanna, Pablo Laguna, Jorge Pullin, Michael P. Ryan 1. Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, D-14476 Golm, Germany 2. Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, 104 Davey Lab, University Park, PA 16802. 3. Natural Science Division, Southampton College of Long...
متن کاملExplicit Zeta Functions for Bosonic and Fermionic Fields on a Noncommutative Toroidal Spacetime
Explicit formulas for the zeta functions ζα(s) corresponding to bosonic (α = 2) and to fermionic (α = 3) quantum fields living on a noncommutative, partially toroidal spacetime are derived. Formulas for the most general case of the zeta function associated to a quadratic+linear+constant form (in Z) are obtained. They provide the analytical continuation of the zeta functions in question to the w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488
DOI: 10.1063/1.1580999