11 citations · 29 across the 22 of their papers we have counts for
9 papers · 1 filter
Research on the recurrence relations for the spin-weighted spheroidal harmonics
Guihua Tian, Huihui Wang
In this paper we study the recurrence relations in the spin-weighted spheroidal harmonics (SWSHs) through super-symmetric quantum mechanics. We use the shape invariance property to…
Some properties of accelerating observers in the Schwarzschild space
Yapeng Hu, Guihua Tian, Zheng Zhao
It is well known that observers will be accelerated when they approach the planets. Thus, discussing the properties of accelerating observers in the Schwarzschild space is of sense…
The tortoise coordinates and the cauchy problem in the stable study of the Schwarzschild black hole
Gui-hua Tian, Shi-kun Wang, Shuquan Zhong
Generally, the Schwarzschild black hole was proved stable through two different methods: the mode-decomposition method and the integral method. In the paper, we show the integral m…
The stable problem of the black-hole connected region in the Schwarzschild black hole
Guihua Tian
The stability of the Schwarzschild black hole is studied. Using the Painlevé coordinate, our region can be defined as the black-hole-connected region(r>2m, see text) of the Schwarz…
Does the Schwarzschild black hole really exist?
Guihua Tian
We use the Kruskal time coordinate T to define the initial time. By this way, it naturally divides the stable study into one connected with the two regions: the white-hole-connecte…
Reconsideration of the Regge-Wheeler equation
Guihua Tian, Shikun Wang, Zhao Zheng
Reconsideration of the Regge-Wheeler equation is processed by using the Painlevé coordinate and "good" timelier to define the initial time. We find that: the Regge-Wheeler equation…
Is the Schwarzschild black hole really stable?
Guihua Tian, Shikun Wang, Zhao Zheng
The stability of the Schwarzschild black hole is studied. Regge and Wheeler treated the problem first at 1957 and obtained the dynamical equations for the small perturbation. There…
Integral equations for the spin-weighted spheroidal wave function
Guihua Tian
Integral equations for the spin-weighted spheroidal wave functions is given. For the prolate spheroidal wave function with m=0, there exists the integral equation whose kernel is(s…
Can an observer really catch up with light
Guihua Tian, Zhao Zheng
Given a null geodesic with a point in conjugate to along , there will be a variation of which will give a time-like curve from to .…