The Kerr–de Sitter spacetime in Bondi coordinates
نویسندگان
چکیده
We use zero angular momentum null geodesics in the Kerr-de Sitter spacetime to transform metric a generalised Bondi coordinate system. write components explicitly. Next, we choose radial be areal and asymptotic Bondi-Sachs gauge.
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 کاملNaked singularities in Tolman–Bondi–de Sitter collapse
We study the formation of central naked singularities in spherical dust collapse with a cosmological constant. We find that the central curvature singularity is locally naked, Tipler strong, and generic, in the sense that it forms from a non-zero-measure set of regular initial data. We also find that the Weyl and Ricci curvature scalars diverge at the singularity, with the former dominating ove...
متن کاملThe semiclassical stability of de Sitter spacetime
de Sitter spacetime and Bunch-Davies vacuum are a solution to the semiclassical Einstein-Schrödinger equations describing the evolution of spacetime geometry and a massive scalar quantum field with arbitrary coupling to curvature. The stability of this solution is proven by calculating the renormalized energy momentum tensor expectation value for small spatially homogeneous deviations from the ...
متن کاملSpherical linear waves in de Sitter spacetime
We apply Christodoulou’s framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain el...
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: Classical and Quantum Gravity
سال: 2021
ISSN: ['1361-6382', '0264-9381']
DOI: https://doi.org/10.1088/1361-6382/ac2c1f