Monthly Archives: February 2011

The escape velocity for the Schwarzschild metric.

The Schwarzschild metric is given by where and . The geodetic equation is given by The path for escaping is given by and , so we only need And we obtain the equations So Now it is clear that . … Continue reading

Posted in General Relativity, Mathematics, Physics, Relativity | 11 Comments

The universe as a sphere.

Consider a uniform sphere that has mass and radius . The gravitational energy of an isotropic sphere is given by so using we obtain The energy is given by and defining we obtain where . So Using we can write … Continue reading

Posted in Cosmology, Mathematics, Physics, Relativity, Universe | 1 Comment

Spontaneous creation of matter and antimatter.

In this post I will write something about the spontaneous creation of matter and antimatter. Let us consider matter as an elementairy particle. This elemenrairty particle has some mass and several quantum-numbers. We assume that charge itself is also a … Continue reading

Posted in Mathematics, Physics, Relativity, Special Relativity | 9 Comments

The gravitational energy of an isotropic sphere.

In this post we find an expression for the gravitational energy of an isotropic sphere. An isotropic sphere is a sphere such that the mass density can be written as . The gravitational energy of two point masses and is … Continue reading

Posted in Mathematics, Physics | Leave a comment

Sum of sinus.

In this post we ask the question: what is ? It is clear that Then So Thus Therefore A simple test: . Now can be written as thus we obtain which can be written as Therefore it is clear that … Continue reading

Posted in Mathematics | Leave a comment