Gibbons-Maeda dilaton時空中Klein-Gordon方程的近似解

Gibbons-Maeda dilaton時空中Klein-Gordon方程的近似解

摘要：本文從Gibbons-Maeda dilaton黑洞背景時空中標量波所滿足的Klein-Gordon方程出發(fā)，利用分離變量法得到了Klein-Gordon方程的角向方程和徑向方程。角向方程的解是已知的球諧函數(shù)，重點是求解徑向方程。本文利用參量變換將徑向方程化為類薛定諤方程進行求解，忽略 后可將方程化為合流超幾何方程，其解為合流超幾何函數(shù)。最終我們得出了Gibbons-Maeda dilaton黑洞背景時空中Klein-Gordon方程的近似解。這種求解的方法對于尋求標量場方程的解有1定的啟發(fā)意義。

關(guān)鍵詞：Gibbons-Maeda dilaton黑洞；Klein-Gordon方程；近似解。

Approximate solution of Klein-Gordon equation in Gibbons-Maeda dilaton black hole

Abstract: In this paper, we study the solution of Klein-Gordon equation in Gibbons-Maeda dilaton black hole. We can get its angular equation and radial equation by Separation of variables, and the angular equation is a known mathematical function, its solution is in the form of function of spherical harmonics. Here we mainly study the solution of radial equation. The radial equation is transformed to Schrodinger-like equation by variable substitution. If neglect , we can transform the equation to the generalized hypergeometric equation, and its solution is the generalized hypergometric function. Hence, we can get the approximate solution of Klein-Gordon equation in Gibbons-Maeda dilaton black hole. This method is helpful for us to find the way of the solution of scalar field equation.

Key Words: Gibbons-Maeda dilaton black hole; Kein-Gordon equation; approximate solution.
.........................

【Gibbons-Maeda dilaton時空中Klein-Gordon】相關(guān)文章：

全球定位系統(tǒng)在空中交通管理中的應(yīng)用03-18

空中交通管制員的心理素質(zhì)培養(yǎng)探析12-06

與時偕行 趣時變通-《周易》“時”之觀念析11-21

創(chuàng)建中國特色空中交通管理理論體系03-22

變時滯網(wǎng)絡(luò)控制系統(tǒng)的時滯獨立穩(wěn)定性研究03-07

亞里士多德的時概念01-10

如何克服演唱時的緊張心理03-08

空時格型編碼技術(shù)03-07

編寫論文提綱時要注意幾點11-27

論文答辯時的難點疑點剖03-20