Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-06-13
Grav.Cosmol. 11 (2005) 269-276
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 3 figures; minor changes, added references
Scientific paper
The Majumdar-Papapetrou system is the subset of the Einstein-Maxwell-charged dust matter theory, when the charge of each particle is equal to its mass. Solutions for this system are less difficult to find, in general one does not need even to impose any spatial symmetry a priori. For instance, any number of extreme Reissner-Nordstrom solutions (which in vacuum reduce to extreme Reissner-Nordstrom black holes) located at will is a solution. In matter one can also find solutions with some ease. Here we find an exact solution of the Majumdar-Papapetrou system, a spherically symmetric charged thick shell, with mass m, outer radius r_o, and inner radius r_i. This solution consists of three regions, an inner Minkowski region, a middle region with extreme charged dust matter, and an outer Reissner-Nordstrom region. The matching of the regions, obeying the usual junction conditions for boundary surfaces, is continuous. For vanishing inner radius, one obtains a Bonnor star, whereas for vanishing thickness, one obtains an infinitesimally thin shell. For sufficiently high mass of the thick shell or sufficiently small outer radius, it forms an extreme Reissner-Nordstrom quasi-black hole, i.e., a star whose gravitational properties are virtually indistinguishable from a true extreme black hole. This quasi-black hole has no hair and has a naked horizon, meaning that the Riemann tensor at the horizon on an infalling probe diverges. At the critical value, when the mass is equal to the outer radius, m=r_o, there is no smooth manifold. Above the critical value when m>r_o there is no solution, the shell collapses into a singularity. Systems with m< r_o are neutrally stable. Many of these properties are similar to those of gravitational monopoles.
Kleber Antares
Lemos José P. S.
Zanchin Vilson Tonin
No associations
LandOfFree
Thick shells and stars in Majumdar-Papapetrou general relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Thick shells and stars in Majumdar-Papapetrou general relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thick shells and stars in Majumdar-Papapetrou general relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-400435