skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Distortions in the surface of last scattering

Abstract

The surface of last scattering of the photons in the cosmic microwave background is not a spherical shell. Apart from its finite width, each photon experiences a different gravitational potential along its journey to us, leading to different travel times in different directions. Since all photons were released at the same cosmic time, the photons with longer travel times started farther away from us than those with shorter times. Thus, the surface of last scattering is corrugated, a deformed spherical shell. We present an estimator quadratic in the temperature and polarization fields that could provide a map of the time delays as a function of position on the sky. The signal to noise of this map could exceed unity for the dipole, thereby providing a rare insight into the universe on the largest observable scales.

Authors:
ORCiD logo [1];  [1];  [2]
  1. Carnegie Mellon Univ., Pittsburgh, PA (United States)
  2. Univ. of Chicago, IL (United States). Enrico Fermi Inst., Kavli Inst. for Cosmological Physics
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States); Carnegie Mellon Univ., Pittsburgh, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Aeronautics and Space Administration (NASA); Simons Foundation
OSTI Identifier:
1595730
Alternate Identifier(s):
OSTI ID: 1546836; OSTI ID: 1755679
Grant/Contract Number:  
SC0009924; SC0019248; SC0010118
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Cosmic microwave background

Citation Formats

Li, Peikai, Dodelson, Scott, and Hu, Wayne. Distortions in the surface of last scattering. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.043502.
Li, Peikai, Dodelson, Scott, & Hu, Wayne. Distortions in the surface of last scattering. United States. doi:https://doi.org/10.1103/PhysRevD.100.043502
Li, Peikai, Dodelson, Scott, and Hu, Wayne. Thu . "Distortions in the surface of last scattering". United States. doi:https://doi.org/10.1103/PhysRevD.100.043502. https://www.osti.gov/servlets/purl/1595730.
@article{osti_1595730,
title = {Distortions in the surface of last scattering},
author = {Li, Peikai and Dodelson, Scott and Hu, Wayne},
abstractNote = {The surface of last scattering of the photons in the cosmic microwave background is not a spherical shell. Apart from its finite width, each photon experiences a different gravitational potential along its journey to us, leading to different travel times in different directions. Since all photons were released at the same cosmic time, the photons with longer travel times started farther away from us than those with shorter times. Thus, the surface of last scattering is corrugated, a deformed spherical shell. We present an estimator quadratic in the temperature and polarization fields that could provide a map of the time delays as a function of position on the sky. The signal to noise of this map could exceed unity for the dipole, thereby providing a rare insight into the universe on the largest observable scales.},
doi = {10.1103/PhysRevD.100.043502},
journal = {Physical Review D},
number = 4,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Works referenced in this record:

Gravitational time delay effects on cosmic microwave background anisotropies
journal, December 2000


Bias-hardened CMB lensing
journal, February 2013

  • Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi
  • Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 1
  • DOI: 10.1093/mnras/stt195

Gauging the cosmic microwave background
journal, December 2008


Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
journal, June 2017


CMB anisotropies: Total angular momentum method
journal, July 1997


Mapping the Dark Matter through the Cosmic Microwave Background Damping Tail
journal, August 2001

  • Hu, Wayne
  • The Astrophysical Journal, Vol. 557, Issue 2
  • DOI: 10.1086/323253

Planck 2013 results. XVII. Gravitational lensing by large-scale structure
journal, October 2014


Bias-hardened CMB lensing with polarization
journal, December 2013

  • Namikawa, T.; Takahashi, R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 438, Issue 2
  • DOI: 10.1093/mnras/stt2290

A Measurement of the Cosmic Microwave Background Gravitational Lensing Potential from 100 Square Degrees of Sptpol data
journal, August 2015


Weak gravitational lensing of the CMB
journal, June 2006


Cosmic microwave background lensing reconstruction on the full sky
journal, April 2003


Isotropic non-Gaussian g NL -like toy models that reproduce cosmic microwave background anomalies
journal, June 2019


Fourth Test of General Relativity
journal, December 1964


Detection of gravitational lensing in the cosmic microwave background
journal, August 2007


Emission-angle and polarization-rotation effects in the lensed CMB
journal, August 2017

  • Lewis, Antony; Hall, Alex; Challinor, Anthony
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 08
  • DOI: 10.1088/1475-7516/2017/08/023

Dipole anisotropy of galaxy distribution: Does the CMB rest frame exist in the local universe?
journal, August 2010