Cosmological hydrodynamics with relativistic pressure and velocity

Noh, Hyerim; Hwang, Jai-chan; Park, Chan-Gyung

doi:10.1088/1475-7516/2018/11/002

Cosmological hydrodynamics with relativistic pressure and velocity

Aug 31, 2018

13 pages

Published in:

JCAP 11 (2018) 002

Published: Nov 5, 2018

e-Print:

1809.01182 [gr-qc]

DOI:

10.1088/1475-7516/2018/11/002

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Abstract: (arXiv)

We present hydrodynamic equations with relativistic pressure and velocity in the presence of weak gravity, in a cosmological context. Previously we consistently derived special relativistic hydrodynamic equations with weak gravity in Minkowski background. With the relativistic pressure and velocity one cannot derive the cosmological counterpart by a simple transformation from equations in the Minkowski background. Here we present a proper derivation. We point out the potential importance of relativistic pressure and velocity in gravitational lensing.

Note:

13 pages, no figure. Three new subsections (2.8-2.10) are added

References(34)

Figures(0)

[1]

Fully nonlinear and exact perturbations of the Friedmann world model

Jai-chan Hwang
(
- Kyungpook Natl. U.
)
,
Hyerim Noh
(
- KASI, DaeJeon
)

- Mon.Not.Roy.Astron.Soc. 433 (2013) 3472
•
e-Print:
- 1207.0264
•
DOI:
- 10.1093/mnras/stt978

[1]

Fully nonlinear and exact perturbations of the Friedmann world model

Jai-chan Hwang
(
- Kyungpook Natl. U.
)
,
Hyerim Noh
(
- KASI, DaeJeon
)

- Mon.Not.Roy.Astron.Soc. 433 (2013) 3472
•
e-Print:
- 1207.0264
•
DOI:
- 10.1093/mnras/stt978

[2]

Fully nonlinear and exact perturbations of the Friedmann world model: Non-flat background

Hyerim Noh

- JCAP 07 (2014) 037
•
e-Print:
- 1404.5739
•
DOI:
- 10.1088/1475-7516/2014/07/037

[3]

Fully non-linear cosmological perturbations of multicomponent fluid and field systems

- Mon.Not.Roy.Astron.Soc. 461 (2016) 3, 3239-3258
•
e-Print:
- 1511.01360
•
DOI:
- 10.1093/mnras/stw1505

[3]

Fully non-linear cosmological perturbations of multicomponent fluid and field systems

- Mon.Not.Roy.Astron.Soc. 461 (2016) 3, 3239-3258
•
e-Print:
- 1511.01360
•
DOI:
- 10.1093/mnras/stw1505

[4]

Exact non-linear equations for cosmological perturbations

- JCAP 10 (2017) 027
•
e-Print:
- 1706.07753
•
DOI:
- 10.1088/1475-7516/2017/10/027

[5]

Newtonian limit of fully nonlinear cosmological perturbations in Einstein's gravity

- JCAP 04 (2013) 035
•
e-Print:
- 1210.0676
•
DOI:
- 10.1088/1475-7516/2013/04/035

[6]

Cosmological post-Newtonian equations from nonlinear perturbation theory

- JCAP 08 (2013) 040
•
e-Print:
- 1307.6270
•
DOI:
- 10.1088/1475-7516/2013/08/040

[7]

Newtonian Hydrodynamics with General Relativistic Pressure

Jai-chan Hwang
(
- Kyungpook Natl. U.
)
,
Hyerim Noh
(
- KASI, DaeJeon
)

- JCAP 10 (2013) 054
•
e-Print:
- 1309.7680
•
DOI:
- 10.1088/1475-7516/2013/10/054

[8]

Newtonian hydrodynamic equations with relativistic pressure and velocity

- JCAP 07 (2016) 046
•
e-Print:
- 1603.07360
•
DOI:
- 10.1088/1475-7516/2016/07/046

[9]

Special relativistic hydrodynamics with gravitation

- Astrophys.J. 833 (2016) 2, 180
•
e-Print:
- 1610.05662
•
DOI:
- 10.3847/1538-4357/833/2/180

[9]

Special relativistic hydrodynamics with gravitation

- Astrophys.J. 833 (2016) 2, 180
•
e-Print:
- 1610.05662
•
DOI:
- 10.3847/1538-4357/833/2/180

[9]

Special relativistic hydrodynamics with gravitation

- Astrophys.J. 833 (2016) 2, 180
•
e-Print:
- 1610.05662
•
DOI:
- 10.3847/1538-4357/833/2/180

[10]

The large-scale structure of the universe, Princeton University Press, Princeton, U.S.A

P.J.E. Peebles

[11]

Cosmology and stellar equilibrium using Newtonian hydrodynamics with general relativistic pressure

- JCAP 04 (2016) 034
•
e-Print:
- 1512.09056
•
DOI:
- 10.1088/1475-7516/2016/04/034

[12]

Cosmological perturbations from quantum fluctuations to large scale structure, in Particle physics and cosmology, L. Fang and A. Zee (eds.) / London, U.K / pg. 1

J.M. Bardeen

[13]

Second-order perturbations of the Friedmann world model

- Phys.Rev.D 69 (2004) 104011
•
DOI:
- 10.1103/PhysRevD.69.104011

[14]

Static solutions of Einstein's field equations for spheres of fluid

Richard C. Tolman
(
- Caltech
)

- Phys.Rev. 55 (1939) 364-373
•
DOI:
- 10.1103/PhysRev.55.364

[14]

Static solutions of Einstein's field equations for spheres of fluid

Richard C. Tolman
(
- Caltech
)

- Phys.Rev. 55 (1939) 364-373
•
DOI:
- 10.1103/PhysRev.55.364

[15]

On massive neutron cores

J.R. Oppenheimer
(
- UC, Berkeley
)
,
G.M. Volkoff
(
- UC, Berkeley
)

- Phys.Rev. 55 (1939) 374-381
•
DOI:
- 10.1103/PhysRev.55.374

[15]

On massive neutron cores

J.R. Oppenheimer
(
- UC, Berkeley
)
,
G.M. Volkoff
(
- UC, Berkeley
)

- Phys.Rev. 55 (1939) 374-381
•
DOI:
- 10.1103/PhysRev.55.374

Republication of: On the gravitational stability of the expanding universe

E. Lifshitz
(
- Moscow, Inst. Phys. Problems
)

- J.Phys.(USSR) 10 (1946) 2, 116,
- Gen.Rel.Grav. 49 (2017) 2, 18,
- Perspectives in Theoretical Physics The Collected Papers of E. M. Lifshitz
•
DOI:
- 10.1007/s10714-016-2165-8

E. Lifshitz

•
DOI:
- 10.1007/s10714-016-2165-8Gen

Republication of: On the gravitational stability of the expanding universe

E. Lifshitz
(
- Moscow, Inst. Phys. Problems
)

- J.Phys.(USSR) 10 (1946) 2, 116,
- Gen.Rel.Grav. 49 (2017) 2, 18,
- Perspectives in Theoretical Physics The Collected Papers of E. M. Lifshitz
•
DOI:
- 10.1007/s10714-016-2165-8

[17]

The Lagrangian approach to the gravitational instability in an expanding universe

H. Nariai

•
DOI:
- 10.1143/ptp.41.686

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