# Relativistic Effects of our Galaxy's Motion on Circles-in-the-sky

@article{Calvao2004RelativisticEO, title={Relativistic Effects of our Galaxy's Motion on Circles-in-the-sky}, author={Maur'icio O. Calvao and G. I. Gomero and B. C. Mota and Marcelo Jose Reboucas}, journal={arXiv: Astrophysics}, year={2004} }

We study the geometric effects of our galaxy's peculiar motion on the circles-in-the-sky. We show that the shape of these circles-in-the-sky remains circular, as detected by a local observer with arbitrary peculiar velocity. Explicit expressions for the radius and center position of such an observed circle-in-the-sky, as well as for the angular displacement of points on the circle, are derived. In general, a circle is detected as a circle of different radius, displaced relative to its original…

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## References

SHOWING 1-10 OF 20 REFERENCES

Lorentz-boosted circles-in-the-sky and cosmic topology

- Physics
- 2004

A topologically finite universe, smaller than the observable horizon, will have circles-in-the-sky: pairs of circles around which the temperature fluctuations in the cosmic microwave background are…

Missing Lorenz-boosted Circles-in-the-sky

- Physics
- 2004

A topologically finite universe, smaller than the observable horizon, will have circles-in-the-sky: pairs of circles around which the temperature fluctuations in the cosmic microwave background are…

Circles in the sky : finding topology with the microwave background radiation

- Physics
- 1997

If the universe is finite and smaller than the distance to the surface of last scatter, then the signature of the topology of the universe is writ large on the microwave background sky. We show that…

Significance of the largest scale CMB fluctuations in WMAP

- Physics
- 2004

We investigate anomalies reported in the Cosmic Microwave Background maps from the Wilkinson Microwave Anisotropy Probe (WMAP) satellite on very large angular scales and discuss possible…

Detecting topology in a nearly flat spherical universe

- Physics
- 2002

When the density parameter is close to unity, the universe has a large curvature radius independent of its being hyperbolic or spherical, or in the limiting case of an infinite curvature radius,…

All-sky component separation for the Planck mission

- Physics
- 2002

A harmonic-space maximum-entropy method (MEM) is presented for separating the emission from different physical components in all-sky observations by the forthcoming Planck satellite. The analysis is…

Constraining the topology of the universe.

- Physics, MedicinePhysical review letters
- 2004

The first year data from the Wilkinson Microwave Anisotropy Probe are used to place stringent constraints on the topology of the Universe, and the nondetection rules out the possibility that the authors live in a universe with topology scale smaller than 24 Gpc.

Erratum: "Asymmetries in the Cosmic Microwave Background Anisotropy Field" (ApJ, 605, 14 [2004])

- Physics
- 2004

We report on the results from two independent but complementary statistical analyses of the Wilkinson Microwave Anisotropy Probe (WMAP) first-year data, based on the power spectrum and N-point…

Detectability of cosmic topology in almost flat universes

- Physics, Mathematics
- 2001

Recent observations suggest that the ratio of the total density to the critical density of the universe, 0, is likely to be very close to one, with a significant proportion of this energy being in…

Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background

- Physics, MedicineNature
- 2003

A simple geometrical model of a finite space—the Poincaré dodecahedral space—which accounts for WMAP's observations with no fine-tuning required is presented, and the model also predicts temperature correlations in matching circles on the sky.