arXiv subjects

A. N. Lasenby

Publications and source records attributed to A. N. Lasenby.

117 records · Page 7Linked to original sources

arXiv1997

Relativistic corrections to the Sunyaev-Zel'dovich effect

We present an extension of the Kompaneets equation which allows relativistic effects to be included to any desired order. Using this, we are able to obtain simple analytic forms for the spectral changes due to the Sunyaev-Zel'dovich effect in hot clusters, correct to first and second order in the expansion parameter theta_e=k_B T_e/m c^2. These analytic forms agree with previous numerical calculations of the effect based upon the multiple scattering spectrum for k_B T_e up to 10 keV. Our results confirm previous conclusions that the result of including relativistic corrections in the Sunyaev-Zel'dovich effect is a small reduction in the amplitude of the effect over the majority of the spectrum: specifically we find Delta T/T = -2y(1 - 17/10 theta_e + 123/40 theta_e^2) (correct to second-order) in the Rayleigh-Jeans region, where y is the usual Comptonization parameter. For a typical cluster temperature of 8 keV, this amounts to a correction downwards to the value of the Hubble constant derived using combined X-ray and Rayleigh-Jeans Sunyaev-Zel'dovich information by about 5 percent.

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arXiv1997

Constraints on cosmological parameters from recent measurements of CMB anisotropy

A key prediction of cosmological theories for the origin and evolution of structure in the Universe is the existence of a `Doppler peak' in the angular power spectrum of cosmic microwave background (CMB) fluctuations. We present new results from a study of recent CMB observations which provide the first strong evidence for the existence of a `Doppler Peak' localised in both angular scale and amplitude. This first estimate of the angular position of the peak is used to place a new direct limit on the curvature of the Universe, corresponding to a density of $Ω=0.7^{+0.8}_{-0.5}$, consistent with a flat Universe. Very low density `open' Universe models are inconsistent with this limit unless there is a significant contribution from a cosmological constant. For a flat standard Cold Dark Matter dominated Universe we use our results in conjunction with Big Bang nucleosynthesis constraints to determine the value of the Hubble constant as $\ho=30-70\kmspmpc$ for baryon fractions $Ω_b=0.05$ to 0.2. For $\ho=50\kmspmpc$ we find the primordial spectral index of the fluctuations to be $n=1.1 \pm 0.1$, in close agreement with the inflationary prediction of $n \simeq 1.0$

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arXiv1997

Rotating Astrophysical Systems and a Gauge Theory Approach to Gravity

We discuss three applications of a gauge theory of gravity to rotating astrophysical systems. The theory employs gauge fields in a flat Minkowski background spacetime to describe gravitational interactions. The iron fluorescence line observed in AGN is discussed, assuming that the line originates from matter in an accretion disk around a Kerr (rotating) black hole. Gauge-theory gravity, expressed in the language of Geometric Algebra, allows very efficient numerical calculation of photon paths. From these paths we are able to infer the line shape of the iron line. Comparison with observational data allows us to constrain the black hole parameters, and, for the first time, infer an emissivity profile for the accretion disk. The topological constraints imposed by gauge-theory gravity are exploited to investigate the nature of the Kerr singularity. This reveals a simple physical picture of a ring of matter moving at the speed of light which surrounds a sheet of pure isotropic tension. Implications for the end-points of collapse processes are discussed. Finally we consider rigidly-rotating cosmic strings. It is shown that a solution in the literature has an unphysical stress-energy tensor on the axis. Well defined solutions are presented for an ideal two-dimensional fluid. The exterior vacuum solution admits closed timelike curves and exerts a confining force.

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arXiv1997

Effect of a Collapsing Cluster on the CMB temperature and Power Spectrum

We present a new model for the formation of spherically symmetric clusters in an expanding Universe. Both the Universe and the collapsing cluster are governed by the same pressure less fluid equations for which a uniform initial density profile is assumed. A simple perturbation imposed on the initial velocity field gives rise to an over-density which closely models real clusters. The computation of photon paths allows us to evaluate the gravitational effects imprinted on a Cosmic Microwave Background (CMB) photon passing through such an evolving mass. We also consider the lensing properties of collapsing clusters and investigate the effect of a population of such clusters on the primordial microwave background power spectrum.

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arXiv1997

The profile and equivalent width of the X-ray iron emission-line from a disk around a Kerr black hole

Recent X-ray observations have shown broad, skewed iron line emission from Seyfert 1 galaxies which is explained by the emission being fluorescence on a disk close to a black hole. During one interval, the line in MCG--6-30-15 was so broad and redshifted that a Kerr black hole is implied. We are therefore studying the effects of the Kerr metric on the line profile, and extending the work by Laor and Kojima which dealt only with extreme values of the spin parameter. Here we report that the spin parameter of the black hole in MCG--6-30-15 is high (a/M>0.94), and invert the line profile to obtain the disk emissivity profile, which approximates a power-law. Continuum radiation returning to the disk because of the Kerr metric does not enhance the equivalent width of the line seen above 3 keV by more than about 20 per cent if the continuum source corotates with the disk.

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arXiv1997

Studies of CMB structure at Dec=40. II: Analysis and cosmological interpretation

We present a detailed analysis of the cosmic microwave background structure in the Tenerife Dec=+40 degrees data. The effect of local atmospheric contributions on the derived fluctuation amplitude is considered, resulting in an improved separation of the intrinsic CMB signal from noise. Our analysis demonstrates the existence of common structure in independent data scans at 15 and 33 GHz. For the case of fluctuations described by a Gaussian auto-correlation function, a likelihood analysis of our combined results at 15 and 33 GHz implies an intrinsic rms fluctuation level of 48^{+21}_{-15} uK on a coherence scale of 4 degrees; the equivalent analysis for a Harrison-Zel'dovitch model gives a power spectrum normalisation of Q_{rms-ps} = 22^{+10}_{-6} uK. The fluctuation amplitude is seen to be consistent at the 68% confidence level with that reported for the COBE two-year data for primordial fluctuations described by a power law model with a spectral index in the range 1.0 \le n \le 1.6. This limit favours the large scale CMB anisotropy being dominated by scalar fluctuations rather than tensor modes from a gravitational wave background. The large scale Tenerife and COBE results are considered in conjunction with observational results from medium scale experiments in order to place improved limits on the fluctuation spectral index; we find n=1.10 +/- 0.10 assuming standard CDM with H_{0}=50 kms^{-1}Mpc^{-1}.

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arXiv1997

New Cosmological Structures on Medium Angular Scales Detected with the Tenerife Experiments

We present observations at 10 and 15 GHz taken with the Tenerife experiments in a band of the sky at Dec.=+35 degrees. These experiments are sensitive to multipoles in the range l=10-30. The sensitivity per beam is 56 and 20 microK for the 10 and the 15 GHz data, respectively. After subtraction of the prediction of known radio-sources, the analysis of the data at 15 GHz at high Galactic latitude shows the presence of a signal with amplitude Delta Trms ~ 32 microK. In the case of a Harrison-Zeldovich spectrum for the primordial fluctuations, a likelihood analysis shows that this signal corresponds to a quadrupole amplitude Q_rms-ps=20.1+7.1-5.4 microK, in agreement with our previous results at Dec.+=40 degrees and with the results of the COBE DMR. There is clear evidence for the presence of individual features in the RA range 190 degrees to 250 degrees with a peak to peak amplitude of ~110 microK. A preliminary comparison between our results and COBE DMR predictions for the Tenerife experiments clearly indicates the presence of individual features common to both. The constancy in amplitude over such a large range in frequency (10-90 GHz) is strongly indicative of an intrinsic cosmological origin for these structures.

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arXiv1996

Radio frequency foreground emission and the separation of microwave anisotropies from foreground contamination

The effects on CMB measurements of foreground contamination due to synchrotron radiation, free-free emission and discrete sources are considered. Estimates of the level and power spectrum of the Galactic fluctuations are made using low frequency maps and recent Tenerife data. New methods for achieving a frequency-based separation of Galactic and CMB components are discussed, and a positive/negative maximum entropy algorithm shown to be particularly powerful in this respect.

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arXiv1994

Comparison of the COBE DMR and Tenerife Data

We have compared the Tenerife data with the {\it COBE} DMR two-year data in the declination +40°region of the sky observed by the Tenerife experiment. Using the Galactic plane signal at $\sim 30$ GHz, we show that the two data sets are cross-calibrated to within 5%. The high Galactic latitude data were investigated for the presence of common structures with the properties of cosmic microwave background (CMB) fluctuations. The most prominent feature in the Tenerife data ($ΔT \sim 80μ$K) is evident in both the 53 and 90 GHz DMR maps and has the Planckian spectrum expected for CMB anisotropy. The cross-correlation function of the Tenerife and DMR scans is indicative of common structure and at zero lag has the value $C(0)^{1/2}=34^{+13}_{-15}\: μ$K. The combination of the spatial and spectral information from the two data sets is consistent with the presence of cosmic microwave background anisotropies common to both. The probability that noise could produce the observed agreement is less than 5%.

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