我遇到这个问题后在网上找到了答案,网上原文如下:

Question: DSolve returns true

Using Mathematica 7, I got a solution

The only time I was able to reproduce the “DSolve[True….” message was when I had the sequence of commands as follows,

What’s happening is that y'[x] is known to be x- y[x], and the DSolve is doing a compare of y-y[x] == y-y[x], returning True. Then it can’t solve True for y[x] in x, resulting in the question being returned.

Would you try exiting the kernel, restart fresh, and re-typing (* commands 1*) only.

 

(内容出自 Wolfram Community http://community.wolfram.com/groups/-/m/t/332674

意思就是,在DSolve解方程时,已事先给出了 y‘[x] 解析表达式,后来又来 y'[x] == x – y[x] 后,相当于在这里比较真假,因此返回 True。

解决办法:删去事先给出的f[x]表达式,清理内存,或者关掉从头重新计算,建议采用后一种方法,比较快速稳妥。

1610.09886–Entropy of Reissner-Nordstrom-de Sitter black hole

1612.03248–Entropy of Kerr-de Sitter black hole

1708.01520–Thermodynamics of de Sitter black hole in massive gravity

Schwarzschild-de Sitter 参考文献:

1707.04900–Schwarzschild-de Sitter spacetime: the role of Temperature in the emission of Hawking radiation
这个文章中介绍了好几种有效温度 T_{eff} .对研究有指导价值

蔡荣根的lukewarm black holes文章 Action and entropy of lukewarm black holes:http://cds.cern.ch/record/332653/files/9708062.pdf

1705.09108–Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter

1710.00997–Kerr-de Sitter, Penrose process and the generalized area theorem

更多引用了 1610.09886 的文章列表:https://arxiv.org/cits/1610.09886?host=cn.arxiv.org


1610.09886中有效温度 T_{eff} 的 Mathematica 计算手稿:RN-dS_Teff.nb


SdS两个温度: