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Takeno, H. (1952) On the Spherically Symmetric Space-Times in General Relativity. Progress of Theoretical Physics, 8, 317-326.
https://doi.org/10.1143/ptp/8.3.317

has been cited by the following article:

• TITLE: The Solution of the Einstein’s Equations in the Vacuum Region Surrounding a Spherically Symmetric Mass Distribution

  AUTHORS: Carlo Maria Pace

  KEYWORDS: General Theory of Relativity, Schwarzschild Solution, Event Horizon, Black Hole

  JOURNAL NAME: Journal of Modern Physics, Vol.15 No.9, August 19, 2024

  ABSTRACT: In this article, we address the solution of the Einstein’s equations in the vacuum region surrounding a spherically symmetric mass distribution. There are two different types of mathematical solutions, depending on the value of a constant of integration. These two types of solutions are analysed from a physical point of view. The comparison with the linear theory limit is also considered. This leads to a new solution, different from the well known one. If one considers the observational data in the weak field limit this new solution is in agreement with the available data. While the traditional Schwarzschild solution is characterized by a horizon at r= 2GM/ c 2 , no horizon exists in this new solution.