Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations



A general Database is now on line.
A Database specific to these types of solutions is under construction.

1. Original paper by Delgaty and Lake is in Comput.Phys.Commun. 115 (1998) 395-415 (gr-qc/9809013)
   
   
   Corrections:
   
2. Nicholas Neary's interim update.
   
3. Knutsen (Class Quantum Grav 11 2139) points out that Hagg and Hajj-Boutros (Class Quantum Grav 11 L69) rediscover Ibaanez and Sanz (J Math Phys 23 1364) who rediscover Misner and Zapolsky (Phys Rev Lett 12 635). In fact these are all Tolman VI with A=n=0.
   
4. Mehra's solution is a rediscovery of a special case of Tolman VII.
5. MW1 is the same as Finch-Skea.
6. Condition (A.2) is too restrictive for isotropic coordinates . In isotropic coordinates B(0) and C(0) can be any finite non-zero number.
   As a consequence, Table 2 has the following changes (calculated by Sherry Hsuan Suyu )
   
   
   
   
   

Related works:

1. M Finch and J E F Skea A Review of the Relativistic Static Fluid Spheres (Local links in ps and pdf).
2. S Rahman and M Visser Spacetime geometry of static fluid spheres (gr-qc/0103065).
   • Use of constraints with GRTensorII to obtain their equation (2.3) (both in a basis and with coordinates).
     Input (visser.mpl || visserb.mpl) Output (visser.html || visser.pdf)
3. G Fodor Generating spherically symmetric static perfect fluid solutions (gr-qc/0011040).

Spacetimes to be studied:

1. Vaidya-Tikekar

Background notes (Lake):

1. ps || pdf

Contact: Kayll Lake (Web,Mail)