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We measure the baryon acoustic oscillation (BAO) observables , , and as a function of red shift z in the range 0.1 to 0.7 with Sloan Digital Sky Survey (SDSS) data release DR13. These observables are independent and satisfy a consistency relation that provides discrimination against miss-fits due to background fluctuations. From these measurements and the correlation angle of fluctuations of the Cosmic Microwave Background (CMB), we obtain , and for dark energy density allowed to vary as . We present measurements of at six values of the expansion parameter a. Fits with several scenarios and data sets are presented. The data is consistent with space curvature parameter  and constant.

international journal of astronomy and astrophysics

Study of Baryon Acoustic Oscillations with SDSS DR13 Data and Measurements of &amp;amp;Omega;&amp;lt;sub&amp;gt;k&amp;lt;/sub&amp;gt; and &amp;amp;Omega;&amp;lt;sub&amp;gt;DE&amp;lt;/sub&amp;gt;(a)