NDLI: Partially relativistic self-gravitating Bose-Einstein condensates with a stiff equation of state

Content Provider	Springer Nature Link
Author	Chavanis, Pierre Henri
Copyright Year	2015
Abstract	Because of their superfluid properties, some compact astrophysical objects such as neutron stars may contain a significant part of their matter in the form of a Bose-Einstein condensate (BEC). We consider a partially relativistic model of self-gravitating BECs where the relation between the pressure and the rest-mass density is assumed to be quadratic (as in the case of classical BECs) but pressure effects are taken into account in the relation between the energy density and the rest-mass density. At high densities, we get a stiff equation of state in which the speed of sound equals the speed of light. We determine the maximum mass of general relativistic BEC stars described by this equation of state using the formalism of Tooper (1965). This maximum mass is slightly larger than the maximum mass obtained by Chavanis and Harko (2012) using a fully relativistic model. We also consider the possibility that dark matter is made of BECs and apply the partially relativistic model of BECs to cosmology. In this model, we show that the universe experiences a stiff matter era, followed by a dust matter era, and finally by a dark energy era due to the cosmological constant. Interestingly, the Friedmann equations can be solved analytically in that case and provide a simple generalization of the ΛCDM model including a stiff matter era. We point out, however, the limitations of the partially relativistic model for BECs and show the need for a fully relativistic one.
Starting Page	1
Ending Page	38
Page Count	38
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	130
Issue Number	9
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-09-04
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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

Dissipative self-gravitating Bose-Einstein condensates with arbitrary nonlinearity as a model of dark matter halos

Relativistic stars with polytropic equation of state

Shock waves in quasi one-dimensional Bose-Einstein condensate

Relativistic self-gravitating Bose-Einstein condensates and cold baryons with a stiff equation of state

Nonholonomic relativistic diffusion and exact solutions for stochastic Einstein spaces

Wave function of the FRW universe with relativistic and ultra stiff matters

Relativistic symmetries of Dirac equation and the Tietz potential

Effects of f(G) gravity on the dynamics of self-gravitating fluids

Interference effect of critical ultra-cold atomic Bose gases

Partially relativistic self-gravitating Bose-Einstein condensates with a stiff equation of state

Similar Documents

Dissipative self-gravitating Bose-Einstein condensates with arbitrary nonlinearity as a model of dark matter halos

Relativistic stars with polytropic equation of state

Shock waves in quasi one-dimensional Bose-Einstein condensate

Relativistic self-gravitating Bose-Einstein condensates and cold baryons with a stiff equation of state

Nonholonomic relativistic diffusion and exact solutions for stochastic Einstein spaces

Wave function of the FRW universe with relativistic and ultra stiff matters

Relativistic symmetries of Dirac equation and the Tietz potential

Effects of f(G) gravity on the dynamics of self-gravitating fluids

Interference effect of critical ultra-cold atomic Bose gases

Partially relativistic self-gravitating Bose-Einstein condensates with a stiff equation of state