# Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges

@article{Ma1995CosmologicalPT, title={Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges}, author={Chung-Pei Ma and Edmund Bertschinger}, journal={The Astrophysical Journal}, year={1995}, volume={455}, pages={7-25} }

This paper presents a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. It differs from others in the literature in that we give, in both gauges, a complete discussion of all particle species that are relevant to any flat cold dark matter (CDM), hot dark matter (HDM), or CDM+HDM models (including a possible cosmological constant). The particles considered include CDM, baryons, photons…

## Tables from this paper

## 1,291 Citations

Cosmic Microwave Background Anisotropies in the Cold Dark Matter Model: A Covariant and Gauge-invariant Approach

- Physics
- 1998

We present a fully covariant and gauge-invariant calculation of the evolution of anisotropies in the cosmic microwave background radiation. We use the physically appealing covariant approach to…

General primordial cosmic perturbation

- Physics
- 2000

We consider the most general primordial cosmological perturbation in a universe filled with photons, baryons, neutrinos, and a hypothetical cold dark matter (CDM) component within the framework of…

Initial conditions for cold dark matter particles and General Relativity

- Physics
- 2013

We describe the irrotational dust component of the universe in terms of a relativistic gradient expansion and transform the resulting synchronous metric to a Newtonian coordinate system. The two…

Signatures of relativistic neutrinos in CMB anisotropy and matter clustering

- Physics
- 2004

We present a detailed analytical study of ultrarelativistic neutrinos in cosmological perturbation theory and of the observable signatures of inhomogeneities in the cosmic neutrino background. We…

Cosmological Perturbation Theory for streams of relativistic particles

- Physics
- 2014

Motion equations describing streams of relativistic particles and their properties are explored in detail in the framework of Cosmological Perturbation Theory. Those equations, derived in any metric…

Cosmological evolution of warm dark matter fluctuations I: Efficient computational framework with Volterra integral equations

- Physics
- 2012

We study the complete cosmological evolution of dark matter (DM) density fluctuations for DM particles that decoupled being ultrarelativistic during the radiation dominated era which is the case of…

Gravity of Cosmological Perturbations in the CMB

- Physics
- 2006

We, first, attempt to single out the measures of cosmological perturbations that are least afflicted by gauge artifacts and directly connect inhomogeneous large-scale evolution with microscopic…

Describing massive neutrinos in cosmology as a collection of independent flows

- Physics
- 2014

A new analytical approach allowing to account for massive neutrinos in the non-linear description of the growth of the large-scale structure of the universe is proposed. Unlike the standard approach…

Cosmological perturbations in elastic dark energy models

- Physics
- 2007

We discuss the general framework for a perfect continuum medium in cosmology and show that an interesting generalization of the fluids normally used is for the medium to have rigidity and, hence, be…

Theoretical foundations of the reduced relativistic gas in the cosmological perturbed context

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2019

The Reduced Relativistic Gas (RRG) is a simplified version of the ideal relativistic gas, which assumes that all particles have the same momentum magnitude. Although this is a very idealized…

## References

SHOWING 1-10 OF 18 REFERENCES

Large-scale structure in the Universe

- PhysicsNature
- 1991

A variety of observations constrain models of the origin of large-scale cosmic structures. Enough observational data have accumulated to constrain (and perhaps determine) the power spectrum of…

Physical processes in the interstellar medium

- Physics
- 1978

Interstellar Matter-- An Overview. Elastic Collisions and Kinetic Equilibrium. Radiative Processes. Excitation. Ionization and Dissociation. Kinetic Temperature. Optical Properties of Grains.…

Classical Electrodynamics

- Nature
- 1969

Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.

J. R

- J. R
- 1995

Phys. Rep

- Phys. Rep
- 1992

Phys. Rev

- Phys. Rev
- 1980

Phys. Rev. Lett

- Phys. Rev. Lett
- 1995

Proceedings of Les Houches School, Session LX

- Proceedings of Les Houches School, Session LX
- 1995

Proceedings of Les Houches School, Session LX

- Proceedings of Les Houches School, Session LX
- 1995