Special Relativity contradicts itself if we take into consideration the conservation of energy.
1- The postulate often taken as a dogma tells that nothing can travel faster than light.
2- It is assumed as consequence of the theory that mass increase with speed.
Let see the energy of a body following Special Relativity.

E = m0.c^2/sqrt(1  - v^2/c^2 + 2U/c^2)
Where's U is the potential per unit mass.
Or that is the same
E = mc^2 where m = m0/sqrt(1  - v^2/c^2 + 2U/c^2)

Let take Newton's apple and let it fall in an experiment. You will see that the apple falls and its speed will be incresing more and more as it fall.
What happens with the energy? The apple as has a speed it adquires kinetic energy and as the speed increases so does the kinetic energy. From where does come this kinetic energy?
As energy cannot come from nothing the only source that it come is from the gravitacional field, so the total energy of the apple must remain constant, in other words
E = constant = m0.c^2/sqrt(1  - v^2/c^2 + 2U/c^2)]
If is not constant energy is created from nothing!
As m0 (rest mass) and c are constant the only way to E remain constant is to
sqrt(1  - v^2/c^2 + 2U/c^2)] = constant
or
1  - v^2/c^2 + 2U/c^2 = constant
or

• v^2/c^2 + 2U/c^2 = k = constant
  We can evatuate k assuming that the velocity of the apple is zero at infinite distance and the potential is zero, we can assume anything else, it will not give difference for the goal.
  In this case
• v^2/c^2 + 2U/c^2 = 0
  or
  v^2/c^2 = 2U/c^2
  or
  v^2 = 2U
  or
  1/2 v^2 = U
  Multiplying by m and taking U = GM/r
  we have
  1/2 mv^2 = GmM/r
  Newton again, fine, let return to the begining
  We have proved that
  E = m0.c^2/sqrt(1  - v^2/c^2 + 2U/c^2) = constant = m0c^2
  and mass in the same way is
  m = m0
  What we have proved applying Einstein energy equation?
  1- The mass of the apple falling freely remains constant, it does not increase with speed!
  2- There no limit for the speed that the apple can achieve, no divison by zero, no singularity.
  As the potential can have any value and reaches infinity when r goes to zero also the speed of the apple will be infinite at r = 0.
  And this contradicts the theory, in other words, Einstein contradicts Einstein.

Part II
Neither Newton nor Einstein describes reality in its whole, only within a range. Both theories have the same problem: at distance = 0 they give an infinite value, Einstein is even worst, beside r = 0 it has another singularity at the horizon of events.
As a general rule of Physics, any equation that gives an infinite value at some point cannot describe a Physical phenomena and so, cannot be used at the singularity.
Another approach is that the gravitational field stores an energy, so if we integrate the field over all the Universe the integral must be the energy stored in the field.
But if we try to integrate the energy stored in a gravitational field of mass m using Newton's or Einstein's General Relativity the integral gives an infinite value, an impossible and wrong result.
Guest which is the correct value that the theory should have given and failed?
Nothing more than mc^2 !!!!!

Instead of Newton's gravitation or Einstein's gravitation let take a look at...., he, he, he;;;;
**Kawecki's Gravitation
**
**U = mc^2 exp-k/r where k = GM/c^2 ** (U = potential)

The gravitaion force is then
F = - GmM/r^2 exp-k/r
As k is very small it gives Newton's law
F = - GmM/r^2
If we consider k small we can approximate the exp and now we have as force
F = -GmM/r^2 (1 - GM/c^2/r)
That give us the Mercury precession of equinoxes
And if we integrate the energy stored in the gravitation field it gives
E = mc^2
Sadly..., no speed limit...he, he, he

Stupidity also evolves!