A comment on an exact solution with a stiff equation of state

1990 ◽  
Vol 22 (6) ◽  
pp. 715-717 ◽  
Author(s):  
Henning Knutsen
Keyword(s):  
Exact Solution ◽  
Equation Of State ◽  
Stiff Equation

scholarly journals INHOMOGENEOUS COSMOLOGICAL MODELS AND H0 OBSERVATIONS

2012 ◽  
Vol 21 (12) ◽  
pp. 1250085 ◽  
Author(s):  
ANTONIO ENEA ROMANO
Keyword(s):  
Exact Solution ◽  
Perturbation Theory ◽  
Dark Energy ◽  
Equation Of State ◽  
Structure Formation ◽  
Cosmological Models ◽  
Implicit Assumption ◽  
Dimensionless Parameters ◽  
Inhomogeneous Cosmological Models ◽  
Einstein's Equation

We address some recent erroneous claim that H0 observations are difficult to accommodate with LTB cosmological models, showing how to construct solutions in agreement with an arbitrary value of H0 by rewriting the exact solution in terms of dimensionless parameters and functions. This approach can be applied to fully exploit LTB solutions in designing models alternative to dark energy without making any restrictive or implicit assumption about the inhomogeneity profile. The same solution can also be used to study structure formation in the regime in which perturbation theory is not enough and an exact solution of the Einstein's equation is required, or to estimate the effects of a local inhomogeneities on the apparent equation of state of dark energy.

RX J1856−3754: Evidence for a Stiff Equation of State

2002 ◽  
Vol 580 (2) ◽  
pp. 1043-1047 ◽  
Author(s):  
Timothy M. Braje ◽  
Roger W. Romani
Keyword(s):  
Equation Of State ◽  
Stiff Equation

scholarly journals Stiff equation of state for a holographic nuclear matter as instanton gas

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
Kazuo Ghoroku ◽  
Kouji Kashiwa ◽  
Yoshimasa Nakano ◽  
Motoi Tachibana ◽  
Fumihiko Toyoda
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Stiff Equation

scholarly journals EXACT SOLUTION FOR THE INTERIOR OF A BLACK HOLE

2008 ◽  
Vol 08 (02) ◽  
pp. L141-L153
Author(s):  
THEO M. NIEUWENHUIZEN
Keyword(s):  
Exact Solution ◽  
Black Hole ◽  
Equation Of State ◽  
General Theory ◽  
Narrow Range ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Schwarzschild Metric ◽  
Specific Shape ◽  
Theory Of Gravitation

Within the Relativistic Theory of Gravitation it is shown that the equation of state p = ρ holds near the center of a black hole. For the stiff equation of state p = ρ − ρc the interior metric is solved exactly. It is matched with the Schwarzschild metric, which is deformed in a narrow range beyond the horizon. The solution is regular everywhere, with a specific shape at the origin. The gravitational redshift at the horizon remains finite but is large, z ~ 1023 M⊙/M. Time keeps its standard role also in the interior. The energy of the Schwarzschild metric, shown to be minus infinity in the General Theory of Relativity, is regularized in this setup, resulting in E = Mc2.

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