Construction of some space times from field independent considerations

by Mr. Arka Prabha Banik

at Particles and Fields Seminar

Mon, 09 Nov 2015, 14:00
Physics building (#54) room 207

Abstract

We can nd out many aspects of Schwarzschild space can be derived without actually using Einstein s eld equation As is well known the 0 0 component of the Schwarzschild space can be obtained by the requirement that the geodesic of slowly moving particles match the Newtonian equation Given this result we shall show here that the remaining components can be obtained by requiring that the inside of a Newtonian ball of dust matched at a free falling radius with the external space determines that space to be Schwarzschild if no pathology exist Also we are able to determine that the constant of integration that appears in the Newtonian Cosmology coincides with the spatial curvature of the FLRW metric We de ne a completely new space time starting from the well known Schwarzschild Space time by de ning a new polar angle 0 t and then rede ning the periodicity: instead of demanding that the original angle be periodic we demand that the new angle 0 be periodic with period 2 This de nes the topologically rotating Schwarzchild space which is physically di erent from the standard Schwarzschild space For this space we work out some properties of the geodesics and related properties This method of generating solutions can be used also for the Reissner Nordstrom case both in the case of Reissner Nordstrom Black hole as well as in the case where there are no horizons the supercharged case Horizon shall exist in this case but with a real singularity not removable one by a transformation in coordinate at the radius of the horizon of the original metric This solution should be used as an external solution rather than the internal one Another topic to notice is that the improper coordinate transformation that we consider introduces closed time like curves This is a common e ect in rotating spacetimes noticeable the Godel universe and others The noticeable topic is that the improper coordinate transformation introduces closed time like curves which we can possibly nd here too We are going to see that mixing tand inside the Schwarzchild radius or in the Kantowsky and Sachs spacetime and rede ning a periodicity for the new angle does not imply the existence of closed timelike curves since t and inside the Schwarzchild radius or in Kantowsky Sachs spacetime are both space like coordinates

Created on 01-11-2015 by Bar Lev, Yevgeny (ybarlev)
Updaded on 01-11-2015 by Bar Lev, Yevgeny (ybarlev)