NDLI: The matter in the Big-Bang model is dust and not any arbitrary perfect fluid!

Content Provider	Springer Nature Link
Author	Mitra, Abhas
Copyright Year	2011
Abstract	We consider a spherically symmetric general relativistic perfect fluid in its comoving frame. It is found that, by integrating the local energy momentum conservation equation, a general form of g 00 can be obtained. During this study, we get a cue that an adiabatically evolving uniform density isolated sphere having ρ(r,t)=ρ 0(t), should comprise “dust” having p 0(t)=0; as recently suggested by Durgapal and Fuloria (J. Mod. Phys. 1:143, 2010) In fact, we offer here an independent proof to this effect. But much more importantly, we find that for the homogeneous and isotropic Friedmann-Robertson-Walker (FRW) metric having p(r,t)=p 0(t) and ρ(r,t)=ρ 0(t), $g_{00} = e^{-2p_{0}/(p_{0} +\rho_{0})}$ . But in general relativity (GR), one can choose an arbitrary t→t ∗=f(t) without any loss of generality, and thus set g 00(t ∗)=1. And since pressure is a scalar, this implies that p 0(t ∗)=p 0(t)=0 in the Big-Bang model based on the FRW metric. This result gets confirmed by the fact the homogeneous dust metric having p(r,t)=p 0(t)=0 and ρ(r,t)=ρ 0(t) and the FRW metric are exactly identical. In other words, both the cases correspond to the same Einstein tensor $G^{a}_{b}$ because they intrinsically have the same energy momentum tensor $T^{a}_{b}=\operatorname {diag}[\rho_{0}(t), 0,0, 0]$ .
Starting Page	351
Ending Page	356
Page Count	6
File Format	PDF
ISSN	0004640X
Journal	Astrophysics and Space Science
Volume Number	333
Issue Number	1
e-ISSN	1572946X
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-02-10
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	General relativity Gravitational collapse Cosmology Friedmann-Robertson-Walker spacetime Big-Bang model Astronomy, Observations and Techniques
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Gravitational charged perfect fluid collapse in Friedmann universe models

An Extension of Friedmann-Robertson-Walker Theory beyond Big Bang

Beyond the Friedmann-Lemaitre-Robertson-Walker Big Bang singularity

The Friedmann-Lemaitre-Robertson-Walker Big Bang singularities are well behaved

Periodic orbits of the generalized Friedmann–Robertson–Walker Hamiltonian systems

The Friedmann-Lemaître-Robertson-Walker Big Bang Singularities are Well Behaved

Schwarzschild and Friedmann Lema\^itre Robertson Walker metrics from Newtonian Gravitational collapse

Quantum gravitational corrections to the Friedmann equations in FRW universe

The wave equation near flat Friedmann-Lema\^itre-Robertson-Walker and Kasner Big Bang singularities

The matter in the Big-Bang model is dust and not any arbitrary perfect fluid!

Similar Documents

Gravitational charged perfect fluid collapse in Friedmann universe models

An Extension of Friedmann-Robertson-Walker Theory beyond Big Bang

Beyond the Friedmann-Lemaitre-Robertson-Walker Big Bang singularity

The Friedmann-Lemaitre-Robertson-Walker Big Bang singularities are well behaved

Periodic orbits of the generalized Friedmann–Robertson–Walker Hamiltonian systems

The Friedmann-Lemaître-Robertson-Walker Big Bang Singularities are Well Behaved

Schwarzschild and Friedmann Lema\^itre Robertson Walker metrics from Newtonian Gravitational collapse

Quantum gravitational corrections to the Friedmann equations in FRW universe

The wave equation near flat Friedmann-Lema\^itre-Robertson-Walker and Kasner Big Bang singularities

The matter in the Big-Bang model is dust and not any arbitrary perfect fluid!