Comment on Ricci Collineations for Type B Warped Space-times
نویسندگان
چکیده
منابع مشابه
Comment on Ricci Collineations for Type B Warped Space-times
We present two counter examples to the paper by Carot et al. in Gen. Rel. Grav. (1997). 29 1223 and show that the results obtained are correct but not general. (x α)) are a pair of pseudo-Riemannian manifolds with coordinate functions x A (A, B, ... = 1, 2) and x α (α, β, ... = 3, 4) respectively. Let Φ(x C) be a real valued function on M 1 and M = M 1 × M 2 be the product manifold (type B warp...
متن کاملHolography of asymmetrically warped space-times
We study the holographic dual of asymmetrically warped space-times, which are asymptotically AdS. The self-tuning of the cosmological constant is reinterpreted as a cancellation of the visible sector stress-energy tensor by the contribution of a hidden CFT, charged under a spontaneously broken global symmetry. The apparent violation of 4D causality due to bulk geodesics is justified by consider...
متن کاملConformal Ricci and Matter Collineations for Anisotropic Fluid
We study the consequences of timelike and spaccelike conformal Ricci and conformal matter collineations for anisotropic fluid in the context of General Relativity. Necessary and sufficient conditions are derived for a spacetime with anisotropic fluid to admit conformal Ricci and conformal matter collineations parallel to u and x. These conditions for timelike and spacelike conformal Ricci and c...
متن کاملConformal Ricci and Matter Collineations for Two Perfect Fluids
Conformal Ricci and conformal matter collineations for the combination of two perfect fluids in General Relativity are investigated. We study the existence of timelike and spacelike conformal Ricci and matter collineations by introducing the kinematical and dynamical properties of such fluids and using the Einstein field equations. Some recent studies on conformal collineations are extended and...
متن کاملHarnack Estimates for Ricci Flow on a Warped Product
In this paper, we study the Ricci flow on closed manifolds equipped with warped product metric (N × F, gN + fgF ) with (F, gF ) Ricci flat. Using the framework of monotone formulas, we derive several estimates for the adapted heat conjugate fundamental solution which include an analog of G. Perelman’s differential Harnack inequality in [18].
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: General Relativity and Gravitation
سال: 2000
ISSN: 0001-7701,1572-9532
DOI: 10.1023/a:1001931409928