We want to celebrate offering all of you for free other book wrote by Albert Einstein: Relativity, The Special and General Theory. Wrote to in 1916 and revised in 1924.
It is possible to find the relationship between the mass and the radius of a spherical black hole keeping in mind that the maximum speed that could reach an object, according to the theory of relativity, it is the speed of light.
The scape velocity in the surface of a spherical star will be the maximum velocity that could reach an object in order to stay in orbit around the star. This will happen when the kinetic energy of one object is equal to the potential energy due to the star gravitational attraction. Continue reading
We are studying an object, that people may think from recent conception, but that it was conceived more than two centuries ago.
In their initial conception, a black hole was an object with a gravity force in their surface so big that nothing could escape from him; not even light if it were affected by gravity (this was not known 200 years ago). Before measuring the speed of light and before the theory of relativity, by means of which it was demonstrated that nothing could surpass the speed of light, people thought that a body could reach an infinite speed and therefore the black hole was a body in which the scape speed was also infinite. This could only happen in the case of a infinite mass star or infinite density star. This cases were illogical cases and the scientists did not give any importance to the matter, falling it in the oblivion.
As we have described a black hole, we never can observe one of them because they would not reflect or emit any radiation or particle. But there are certain effects that can be detected. One of these effects is the gravitational effect on a neighboring star.
Suppose a binary star system (two stars so close to turning the one around the other) in which one of the stars is visible and than we can calculate its distance from Earth, and its mass. The visible star will make a few oscillatory movements in space due to the gravitational attraction of the invisible star. From these movements we can calculate the mass of the invisible star .
If this invisible star exceeds a mass of about 2.5 times the mass of our Sun, we must assume that it’s a black hole.
Albert Einstein was born in Ulm, Germany on 14 March of 1879 and he grew up in Munich since the age of 1 year up to 16. Then his family moved to Italy and he left the course to go there too. He was very excellent in mathematics and physics but he was not interested in other matters. He studied on his own but his father forced him to return to Munich and then to Zürich to continue their studies. As he had not completed high school, he could not enter the University but he was admitted at the Polytechnic of Zurich, where he studied physics and mathematics with Heinrich Weber and Herman Minkowki.
It is said that the gravitational waves are a consequence of the theory of relativity, of Albert Einstein, but it is difficult to find texts in which they argue why this relationship, except that they are arising from the study of the Einstein field equations. Let’s try to apply a little logic and some knowledge of relativity in this issue.
The key question is the following question: is possible to convey the effect of gravity faster than light?
Let’s assume for a moment that that is possible. For simplicity suppose that gravity affects instantaneously, or at infinite speed. That has a very important consequence, that is that you could create an experiment to transmit information instantaneously through instantaneous changes of gravitational effects. …more about gravitational waves
Among stock investors, in the study of the Elliott waves often you will see naming the numbers 0,618 and 1,618 as usual proportions in the stock market charts, and therefore between stretches of Elliott waves.
These numbers are the golden proportions, highly estimated by old Greeks as the most beautiful proportions, and that are seen too much in the nature.
It is the positive solution of the equation x2 = x + 1
It is intended to be a pattern that allows researchers to go from the initial point of an investigation until conclusions with confidence to obtain valid knowledge.
The scientific method is supported by two pillars. The first of these is the reproducibility, i.e., the ability to repeat a given experiment, and the second pillar is the Falsifiability. In other words, that any scientific proposition must be capable of being falsifiable by experiments (Falsifiability). Karl Popper was who founded the epistemological current of the Falsifiability, refutationism or principle of falsifiability, by which to contrast a theory, should be able to try to refute it by a counterexample.
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Suppose a star like the sun that is exhausting its nuclear fuel turning its hydrogen into helium and this into carbon, oxygen and finally iron coming a time when the heat produced by nuclear reactions is short to produce a dilation of the Sun and thus compensate the force of gravity. Then the sun collapses increasing its density, being only slowed down this collapse by the repulsion between the electron shells of atoms. But if the mass of the sun is high enough it will be overcome this repulsion (exceeding the Chandrasekar limit) being able to get to merge the protons and electrons of the atoms, forming neutrons and reducing the volume of the star leaving no space between the nuclei of the atoms. The Sun was to become a sphere of neutrons and therefore would have a very high density. It would be what is called “neutron star”.