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An elementary question for the black hole experts
On Jun 11, 7:12 pm, Tom Roberts wrote:
On 6/11/12 6/11/12 2:30 AM, AB wrote: When a massive star exhausts the nuclear fuel whose burning keeps it hot, the star’s internal pressure plunges. Gravity overwhelms the pressure and pulls the star inward upon itself. The star implodes, shrinking smaller and smaller, ultimately its gravity grows so enormous that nothing, not even light, can escape its grip. The star creates a black hole around itself.. Yes, pretty much. For normal matter, as dlzc pointed out, this only occurs if the star's mass is larger than the Chandrasekhar limit. This is not correct. Chandrasekhar limit is a theoretical equilibrium where the electron degeneracy of outgoing pressure (maximum at the limit) equates that of gravitation (no theoretical limit). Asymptotically above that limit, the star will implode. In doing so, the renewed pressure in the core will fuse any forms of helium isotopes together to form heavier elements (in terms of atomic number) in plasma state. Eventually, it is believe that it will trigger an explosion called type-Ia supernova. This is regarded as the standard galactic candle to measure absolute luminosity in which it allowed the Perlmutter-led team to win the most recent Nobel Prize in physics by denouncing the conservation of energy --- first law of thermodynamics. Thus, to form a black hole, the initial mass has to be much higher than the Chandrasekhar limit where the gravity would overcome the exploding pressure from fusing helium to heavier elements. shrug Note that the black hole is not "created around itself", but rather the horizon first appears as a point that expands with the local speed of light to an appropriate radius (determined by how much mass is inside it). The predicted creation of black holes comes from the Schwarzschild metric which is just one of the infinite numbers of solutions to the field equations that are static, spherically symmetric, and asymptotically flat: ** ds^2 = c^2 (1 – 2 U) dt^2 – dr^2 / (1 – 2 U) – r^2 dO^2 Where ** U = G M / c^2 / r ** dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2 Schwarzschild’s original solution which is not to be confused with the Schwarzschild metric does not manifest black holes. Besides the Schwarzschild metric and Schwarzschild’s original solution, the following simple spacetime solution also does not manifest black holes. ** ds^2 = c^2 dt^2 / (1 + 2 U) – (1 + 2 U) dr^2 – r^2 (1 + 2 U)^2 dO^2 Since all of these satisfy Newtonian law of gravity at weak curvature in spacetime, what is your justification to support the Schwarzschild metric but not the others? We will take silence as your lack of understanding in why which means you are doing science with gut feeling, voodoo science, or just random picking (Las Vegas style). None of these are remotely close to the confines of scientific methods. shrug --- But then what really happens to the "matter" of the star? - what is meant by "star itself is destroyed" -- from the perspective of mass-energy equivalence? We have no knowledge about such things in the world we inhabit, but we do have a model, General Relativity, which is applicable outside the singularity that it predicts. There are infinite such solutions. The founding fathers of GR found several and just cherry-picked one (the Schwarzschild metric) without any justifications. shrug That model implies that conservation of energy holds at every point of the manifold (but the singularity is omitted from the manifold). Gee, Tom, aren’t you forgetting something? The equation describing the spacetime of the Schwarzschild metric certainly does indicate a conservation of energy. However, according to Nathan Rosen’s fudged mathematics, even the Schwarzschild metric where the mass of the gravitational object is null compared with its gravitating mass, it even emits gravitational waves and falsifies the first law of thermodynamics. Yeah, you cannot tell the violation of the conservation of energy in the Schwarzschild metric. What a contradiction it represents. shrug Since the star collapses to higher densities than either a nucleus or a neutron star, it's clear that something new must happen there, such as a new form of matter arising, or perhaps an escape to some other dimension or hitherto hidden region of the manifold, but we simply do not know what happens there. Among the solutions to the field equations that are static, spherically symmetric, and asymptotically flat, the ones manifesting no black holes outnumber the ones that do, the statics is heavily against you and the self-styled physicists. Although science is not a discipline that favors certain statics, the self-styled physicists are incapable of offering any justifications to decide on the Schwarzschild metric. Since you have no idea the Schwarzschild metric is merely one of the infinite solutions, you are totally clueless. Why are talking as if you know something about GR? You are the one who actually needs to study and learn about GR instead of regurgitating what your peers are bull****ting you. Tom, it is obviously that you know not much about GR. Why are you not taking your own advice advocating others to study GR? shrug |
#2
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An elementary question for the black hole experts
interesting, since the speed of light (not
its velocity as a "rock") depends only upon the density of the refracting medium, in the opposite sense of Newton's "theory" (or Snell's law .-) Note that the black hole is not "created around itself", but rather the horizon first appears as a point that expands with the local speed of light to an appropriate radius (determined by how much mass is inside it). |
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