New or old idea of the gravitational field ?
The energy may be potential or kinetic.
E=Mgh is a simple approximation for the potential gravitational energy.
The potential energy is just an inward oscillation of the space itself moving with the speed of light. It is a radiation, gravitational and electromagnetic field. If we remove radiation and EM field there is still gravitational field. It is a vacuum energy with the virtual particles causes Casimir force.
The potential energy is the effective sum (gradient) of this inward distortion of the space.
For example - Dark Energy are all space distortion in the Universe
- Dark Matter is a difference in the density of the Dark Energy causing gravitational force around galaxy. The virtual particles of the Dark Energy are collected in Galaxy Clusters mostly.
Average density of the Universe is 10^-29 g/cm^3
In Cosmic Voids is it almost =0
In Galaxy Clusters is 10 times or more then average.

The kinetic energy is oscillation of the particles with rest mass, moving less then speed of light.

The potential energy coming from a space become the kinetic energy inside the rest mass and the particle is accelerated. We measure the temperature of the particles according to their velocity. The kinetic movement is a straight line motion and potential energy can change its direction in a centripetal acceleration.

Potential energy inwards oscillation of the space pulling force
Kinetic energy outwards oscillation of the rest mass pushing force

The kinetic oscillations cause a pressure because of the rest mass collisions. The energy of the pressure E=Pressure x Volume is transformed into a thermal radiation E=h(Planck const. X frequency) and it is the potential energy E=Force x Radius again. If the thermal radiation may leave out the system it cools the system and the distances between rest masses decrease. How far ?
Is it possible to cool and contract infinitely ? No. The radiation of the energy is possible till the star reach a relation Mass/Radius = c^2/2G (Schwarzschild Radius). The quasi closed system of the Black Hole (Gravastar, Grotastar type)has a minimum radiation.

The potential gravitational energy is balanced by the pressure of the kinetic energy. The gravitational force (potential energy) increases proportional to inverse R^2 but the pressure P=Energy/Volume (kinetic energy) increases proportional to inverse R^3.

It is not possible to collapse in a small singularity because the kinetic oscillation would be stronger then potential gravitational force. There is Hawking Radiation or Heim's antigravity.
http://www.americanantigravity.com/a...ced-Propulsion
http://en.wikipedia.org/wiki/Hawking_radiation
Energy outflow = hc^6/15360x3,14xG^2xM^2

Inside a heavy neutron star is the pressure about 10^36 N/m^3. It is 10 GeV per particle enough to create a new particle-antiparticle pair. The antiparticles annihilate and this energy moves like sound wave from the centre to star's surface. We observe it as pulsars. http://hyperphysics.phy-astr.gsu.edu...ro/pulsar.html

The neutron stars are rotating and there is higher pressure along its axis then equator because centrifugal force. The particles are moving then from its pole to a centre and toward the equator and to its pole again. Such a movement causes a tremendous magnetic field an we observe a magnetar. http://www.brightsurf.com/isearch/in...agnetar%20star

A particle with a rest mass is a system of the vibrating space deformation. This deformations are oscillating with a speed of light inside of this mass particle. The movement can't exceed a speed of light and that way we observe a particle deformation.This oscillation can not stop. It is one possibility to stop it if two particles with the opposite spins meet. There is an annihilation and two gamma rays emit. The energy is conserved.

Because of a permanent matter-antimatter creation and annihilation is the matter moving towards the outside surface of a heavy neutron star and there is mostly a bosons energetic field inside a small Black Hole Gravastar idea.

The larger BH are not so dense and they may absorb more rest mass particles. The kinetic energy causes fast rotations of the particles and the inner pressure holds this closed system in a balance Grotastar idea.

The Black Hole is a quasi closed system. The small BH radiate more energy then larger. The super massive BH absorbs more energy from outside then emits. The super massive BHs are growing faster then the stellar BH. The hyper super massive Black Hole absorbs its environment very fast and grows almost as speed of light. The kinetic energy causes a fast rotation of subsystems like in a boiling water or a gearbox.
http://www.blackholes.int.pl