I was trying to go about deciding whether a planet such as the following could exist:
It has a radius of only 2m.
It has an acceleration rate of 9.8 m/s^2 (gravity)
This way, you can walk on it, and at the same time, you could see whether you were "upside down", although, physically you probably couldn't tell the difference.
The Attempt at a Solution
So I've done the work that proves this thing isn't a black hole. However, I've come to an unproved conclusion that this planet is actually a star because it's density is between that of a white dwarf and a neutron star.
The trouble is, I'd like to be able to say that solids won't exist at this high of a density (5.877X10^11 (standard units))
because that kind of density requires pressures that exceeds what solids can stand, and that along w/ those high pressures come high temperatures, melting or boiling anything that would have been a solid -- thus, I couldn't walk on the "planet" anyway.
However, I feel this only works if high density implies high pressure which implies high temperature, meaning in the end, that high density implies high temperature, which fails.
As shown in this equation: density = pressure(mass)/(RT), where T is temperature
It would be cool if someone could lead me in the right direction to prove that this thing is a star.