Varieties of Parametric Classes of Exact Solutions in General Relativity Representing Static Fluid Balls

Table 1

The march of pressure, density, pressure-density ratio, and square of adiabatic sound speed within the ball corresponding to 𝑙=4.75 with 𝑢=0.25.

𝑟/𝑟𝑏	(8𝜋𝐺/𝑐^4)𝑝𝑟^2𝑏	(8𝜋𝐺/𝑐^2)𝜌𝑟^2𝑏	𝑝/𝜌𝑐^2	(1/𝑐^2)(𝑑𝑝/𝑑𝜌)
0	∞	∞	0.09879	0.09879
0.1	6.58927	32.3632	0.20360	0.18684
0.2	2.29996	9.40575	0.24452	0.23125
0.3	1.18659	4.63777	0.25585	0.26815
0.4	0.70315	2.84393	0.24724	0.29885
0.5	0.44151	1.97301	0.22377	0.32653
0.6	0.28097	1.48486	0.18922	0.36966
0.7	0.17397	1.18389	0.14694	0.39023
0.8	0.09830	0.98631	0.09966	0.42714
0.9	0.04233	0.84997	0.049801	0.46666
1.0	0	0.75238	0	0.45254