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Schwarzschild equation from SR corrected Newtonian gravitation



 
 
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  #1  
Old July 17th 12, 05:43 PM posted to sci.physics.relativity,sci.physics,sci.math,sci.astro
Koobee Wublee
external usenet poster
 
Posts: 815
Default Schwarzschild equation from SR corrected Newtonian gravitation

On Jul 17, 3:32 am, Alen wrote:

General Relativistic
gravitation is so fundamentally different from
Newtonian gravitation, and yet the results produced
by both are approximately the same.


Gauss was the first to conceive that space might be curved. Riemann
(pronounced ree-mahn in case if Waite is reading this) was the first
to describe what curved space would be in mathematics. Riemann was
also the first to realize a connection between gravity and curved
space, but exploring that concept would not get him anywhere.
Christoffel was the first to apply the concept of the shortest path to
any geodesics and derived the Christoffel symbols. It was Ricci who
designed a mathematical procedure to handcraft a mathematical artifact
called the Riemann tensor based on the Christoffel symbols. After
that, Levi-Civita was able to design another mathematical procedure to
modify the Riemann tensor into the Ricci tensor. It would take the
concept of spacetime to trigger a revolution in the study of
gravitation. Armed with the curvature in the temporal dimension,
Nordstrom was able to present the Ricci tensor operated on the curved
spacetime (not just space) to form the basis of the Laplace equation.
With the connection between the Ricci tensor and the Laplace equation
established, it should be very obvious that another way to derive
gravitation is to solve the Ricci tensor which consists of a set of 16
differential equations (however only 4 are needed if a diagonal metric
is chosen). After all, one can derive Newtonian law of gravity by
solving the single differential equation of the Laplace equation.
There are actually infinite solutions to the field equations.
Schwarzschild discovered the first one that manifests no black holes.
The Schwarzschild metric (less complicated solution) was discovered by
Hilbert a year or two later which manifests black holes. Even with
the Schwarzschild metric, there are several integration constants to
deal with. Using Newtonian law of gravity as a boundary condition,
these integration constants can be solved. shrug


Since Newtonian gravitation, which is based on a
force field concept, can produce results so close
to the very different theory of General Relativity, the
question may naturally be asked: could some kind
of corrected Newtonian gravitation produce precisely
the same results as General Relativity?


Oh, yes. You can modify the gravitational potential to explain the
orbital anomaly of Mercury. Using the modified gravitational
potential, you can go back to solve the Laplace equation with this
modified gravitational potential and write down a new gravitational
law. Paul Gerber was the first to apply this to explain Mercury’s
orbital anomaly by modifying the gravitational potential to be
dependent on the radius speed. Einstein the nitwit, the plagiarist,
and the liar chose to add second order terms to the gravitational
potential. This was exactly how Einstein the nitwit, the plagiarist,
and the liar was bragging about solving Mercury’s orbital anomaly
without referencing GR at all, and that compelled Hilbert to derive
the field equations by adding a trace term and energy momentum tensor
to null Ricci tensor. shrug

The whole thing about GR is ad hoc, artificial, and fruitless. The
whole purpose is to allow self-styled physicists to maintain their
elite status quo in the name of science since almost all of them do
not even know how the field equations are derived. Not to mention,
their mathematical skills and mathematical concepts are deeply
inadequate to recognize that there are infinite solutions to the field
equations. Very fvcking sad indeed. shrug
  #2  
Old July 17th 12, 07:15 PM posted to sci.physics.relativity,sci.physics,sci.astro
Tonico
external usenet poster
 
Posts: 120
Default Schwarzschild equation from SR corrected Newtonian gravitation

On Jul 17, 7:43*pm, Koobee Wublee wrote:
On Jul 17, 3:32 am, Alen wrote:

General Relativistic
gravitation is so fundamentally different from
Newtonian gravitation, and yet the results produced
by both are approximately the same.


Gauss was the first to conceive that space might be curved. *Riemann
(pronounced ree-mahn in case if Waite is reading this) was the first
to describe what curved space would be in mathematics. *Riemann was
also the first to realize a connection between gravity and curved
space, but exploring that concept would not get him anywhere.
Christoffel was the first to apply the concept of the shortest path to
any geodesics and derived the Christoffel symbols. *It was Ricci who
designed a mathematical procedure to handcraft a mathematical artifact
called the Riemann tensor based on the Christoffel symbols. *After
that, Levi-Civita was able to design another mathematical procedure to
modify the Riemann tensor into the Ricci tensor. *It would take the
concept of spacetime to trigger a revolution in the study of
gravitation. *Armed with the curvature in the temporal dimension,
Nordstrom was able to present the Ricci tensor operated on the curved
spacetime (not just space) to form the basis of the Laplace equation.
With the connection between the Ricci tensor and the Laplace equation
established, it should be very obvious that another way to derive
gravitation is to solve the Ricci tensor which consists of a set of 16
differential equations (however only 4 are needed if a diagonal metric
is chosen). *After all, one can derive Newtonian law of gravity by
solving the single differential equation of the Laplace equation.
There are actually infinite solutions to the field equations.
Schwarzschild discovered the first one that manifests no black holes.
The Schwarzschild metric (less complicated solution) was discovered by
Hilbert a year or two later which manifests black holes. *Even with
the Schwarzschild metric, there are several integration constants to
deal with. *Using Newtonian law of gravity as a boundary condition,
these integration constants can be solved. *shrug

Since Newtonian gravitation, which is based on a
force field concept, can produce results so close
to the very different theory of General Relativity, the
question may naturally be asked: could some kind
of corrected Newtonian gravitation produce precisely
the same results as General Relativity?


Oh, yes. *You can modify the gravitational potential to explain the
orbital anomaly of Mercury. *Using the modified gravitational
potential, you can go back to solve the Laplace equation with this
modified gravitational potential and write down a new gravitational
law. *Paul Gerber was the first to apply this to explain Mercury’s
orbital anomaly by modifying the gravitational potential to be
dependent on the radius speed. *Einstein the nitwit, the plagiarist,
and the liar chose to add second order terms to the gravitational
potential. *This was exactly how Einstein the nitwit, the plagiarist,
and the liar was bragging about solving Mercury’s orbital anomaly
without referencing GR at all, and that compelled Hilbert to derive
the field equations by adding a trace term and energy momentum tensor
to null Ricci tensor. *shrug

The whole thing about GR is ad hoc, artificial, and fruitless. *The
whole purpose is to allow self-styled physicists to maintain their
elite status quo in the name of science since almost all of them do
not even know how the field equations are derived. *Not to mention,
their mathematical skills and mathematical concepts are deeply
inadequate to recognize that there are infinite solutions to the field
equations. *Very fvcking sad indeed. *shrug



Idiot
  #3  
Old July 17th 12, 08:30 PM posted to sci.physics.relativity,sci.physics,sci.astro
Brad Weavers
external usenet poster
 
Posts: 1
Default Schwarzschild equation from SR corrected Newtonian gravitation

On Jul 17, 8:15 pm, Tonico wrote:
On Jul 17, 7:43 pm, Koobee Wublee wrote:



On Jul 17, 3:32 am, Alen wrote:


General Relativistic
gravitation is so fundamentally different from
Newtonian gravitation, and yet the results produced
by both are approximately the same.


Gauss was the first to conceive that space might be curved. Riemann
(pronounced ree-mahn in case if Waite is reading this) was the first
to describe what curved space would be in mathematics. Riemann was
also the first to realize a connection between gravity and curved
space, but exploring that concept would not get him anywhere.
Christoffel was the first to apply the concept of the shortest path to
any geodesics and derived the Christoffel symbols. It was Ricci who
designed a mathematical procedure to handcraft a mathematical artifact
called the Riemann tensor based on the Christoffel symbols. After
that, Levi-Civita was able to design another mathematical procedure to
modify the Riemann tensor into the Ricci tensor. It would take the
concept of spacetime to trigger a revolution in the study of
gravitation. Armed with the curvature in the temporal dimension,
Nordstrom was able to present the Ricci tensor operated on the curved
spacetime (not just space) to form the basis of the Laplace equation.
With the connection between the Ricci tensor and the Laplace equation
established, it should be very obvious that another way to derive
gravitation is to solve the Ricci tensor which consists of a set of 16
differential equations (however only 4 are needed if a diagonal metric
is chosen). After all, one can derive Newtonian law of gravity by
solving the single differential equation of the Laplace equation.
There are actually infinite solutions to the field equations.
Schwarzschild discovered the first one that manifests no black holes.
The Schwarzschild metric (less complicated solution) was discovered by
Hilbert a year or two later which manifests black holes. Even with
the Schwarzschild metric, there are several integration constants to
deal with. Using Newtonian law of gravity as a boundary condition,
these integration constants can be solved. shrug


Since Newtonian gravitation, which is based on a
force field concept, can produce results so close
to the very different theory of General Relativity, the
question may naturally be asked: could some kind
of corrected Newtonian gravitation produce precisely
the same results as General Relativity?


Oh, yes. You can modify the gravitational potential to explain the
orbital anomaly of Mercury. Using the modified gravitational
potential, you can go back to solve the Laplace equation with this
modified gravitational potential and write down a new gravitational
law. Paul Gerber was the first to apply this to explain Mercury’s
orbital anomaly by modifying the gravitational potential to be
dependent on the radius speed. Einstein the nitwit, the plagiarist,
and the liar chose to add second order terms to the gravitational
potential. This was exactly how Einstein the nitwit, the plagiarist,
and the liar was bragging about solving Mercury’s orbital anomaly
without referencing GR at all, and that compelled Hilbert to derive
the field equations by adding a trace term and energy momentum tensor
to null Ricci tensor. shrug


The whole thing about GR is ad hoc, artificial, and fruitless. The
whole purpose is to allow self-styled physicists to maintain their
elite status quo in the name of science since almost all of them do
not even know how the field equations are derived. Not to mention,
their mathematical skills and mathematical concepts are deeply
inadequate to recognize that there are infinite solutions to the field
equations. Very fvcking sad indeed. shrug


Idiot


you?
 




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