the fundamental plane of quasars
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The Fundamental Plane of Quasars. …Putting the “fun” back in “Fundamental Plane”!. Timothy Scott Hamilton NASA/GSFC, National Research Council. QSO Fundamental Plane. Abstract - PowerPoint PPT PresentationTRANSCRIPT
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The Fundamental Plane of Quasars
Timothy Scott Hamilton
NASA/GSFC, National Research Council
…Putting the “fun” back in “Fundamental Plane”!
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QSO Fundamental Plane
AbstractThe “Fundamental Plane” for quasars relates the
nuclear luminosity to the size and surface brightness of the host galaxy. Quasars lie on a thin plane within this phase space. Comparisons with the elliptical galaxy fundamental plane could tell us about the formation history of quasars. The “tilt” of the plane might be a characteristic of the type of active galaxy.
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Full Sample
• 70 low-z QSOs from Hubble Space Telescope archives– MV < -23
– redshifts 0.06 < z < 0.46– WFPC2 broad-band filters
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Restricted Sample
• Require: – Host: Elliptical or elliptical bulges of spirals
• Effective radius (re ) and effective magnitude e
– Nuclear x-ray luminosity (Lx )• Literature data from ROSAT (mostly) and other missions.
• Eliminated 4 outliers
Restricted sample has 38 QSOs.
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Image Analysis
1. Standard HST pipeline and cosmic-ray removal.
2. Fit PSF structure to core—color, focus, centering.
3. Fit 2-D PSF+host models simultaneously.
4. Subtract PSF model to reveal host.
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Cosmic-ray cleaned, before PSF removal
Image Analysis: PG 0052+251
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Image Analysis: PG 0052+251
PSF model
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Image Analysis: PG 0052+251
PSF + host models
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Image Analysis: PG 0052+251
PSF-subtracted host
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PG 0052+251 Bulge
Before After
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Physical Parameters
• Obtain MV(nuc) from fitted PSF scaling.• re directly from host model.• MV(host) from PSF-subtracted image, with
model used only to fill in missing data and extrapolate to infinite radius.
• Bulge and disk fitted separately.• X-ray luminosity & black hole masses from
literature.
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Varieties of Hosts
SB
E
S
S?
MS 0801.9+2129
Q 2215-037
PG 0052+251
PG 1309+355
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Host vs. Nuclear Luminosity
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Look for multiple correlations
MV(host) vs. MV(nuc) shows a weak correlation.
Look for host—nuclear correlations among several parameters at once.
Principal Components Analysis
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Principal Components Analysis(PCA)
• Looks for correlations in multi-dimensional data.
• Rotates coordinate axes to align with directions of greatest variance—finds the eigenvectors.
• If there are strong correlations, the dataset might be described by smaller number of parameters.
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First-Run PCA
• Used MV(nuc), MV (bulge), & log re
• First two eigenvectors account for 89% of variance.– QSOs lie roughly in a thick plane defined by
first 2 eigenvectors.– Third eigenvector (11%) accounts for thickness
of plane.
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Improved PCA
• Use MV(nuc), e , & log re
• 96% of variance explained by 2 eigenvectors.– Plane is thinner.– Only 4% variance in third eigenvector.
The “Fundamental Plane” of quasars.
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X-ray PCA
• Perform PCA using x-ray nuclear luminosities:
log LX, e , & log re
• First two eigenvectors explain 95% of variance.
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Subsample PCA results
Sample
% of variance explained
Optical Fundamental Plane
X-ray Fundamental Plane
All 95.9 94.9
LE 97.9 97.4
QE 97.6 98.1
QS 94.5 98.7
L 97.9 97.4
Q 95.5 95.6
E 96.5 96.0
S 91.6 86.1
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QSO FP
• QSO optical fundamental plane:
MV(nuc) = 3.1 e - 13 log re - 76
• QSO x-ray fundamental plane:
log LX = -1.9 e + 7.9 log re + 78
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Accuracy of QSO FP
Optical fundamental plane vs. data X-ray fundamental plane vs. data
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Derivation from Normal FP?
• Normal galaxy FP (Scodeggio et al. 1998):
log re = 1.35 c + 0.35 e + Constant• Use MBH ~ c relation to get black hole
masses.• Obtain MV(nuc) from MBH?
– No!» …and why not?
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Black Hole vs. Nucleus
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QSO Fundamental Plane:Comparison with Derivation
• QSO FP derived from normal galaxy fundamental plane:log re = -0.41 MV(nuc) + 0.35 e + Constant
• QSO FP (correct form, from PCA):log re = -0.074 MV(nuc) + 0.23 e + Constant
This argues that we do not have the complete story.
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Edge-on views of plane
Complete sample Radio-louds in ellipticals
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Size—Surface Magnitude
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Size—Surface Magnitude
• Indicator of galaxy merger history?– Equal-sized mergers shallow slope– Big swallows small steep slope
• Group by RL/RQ– Inconclusive.
• …Dead-end for interpretation?
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Size—Surface Magnitude
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FP Tilt
• Quasar FP is composed of different overlapping, tilted planes for different subsamples.
• Subsamples have same re ~ e slopes but different tilts relative to MV(nuc) .– So host behavior is ~same, but it is connected to the
nucleus in different ways.
Is slope characteristic of accretion mechanism?
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Testing Meaning of QSO FP
• Analyze lower-luminosity AGN: – Seyferts, radio galaxies, blazars, Low-
Luminosity AGN, etc.
• Do other AGN classes have fundamental planes?
• How do those planes compare with the QSO FP?
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Possible Outcomes1. Plane is parallel to QSO FP but shifted.
• Host type has little effect on AGN type. What creates the difference?
2. Plane is tilted to QSO FP.• FP slope is characteristic of AGN type.
Slope directly tied to accretion mechanism?
3. They share the QSO FP.• AGN power scales directly with the galaxy
properties! Even across types.• Argument for unification.
4. No trend whatsoever.• QSOs have special property not shared by other
AGN. High-powered objects more closely connected with their host properties.
• ?!?
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Status of Project
• LLAGN (sample of Ho et al. 2001) show evidence of a fundamental plane (90% of variance).– Strong encouragement for additional work!
• Proposals for Chandra observations.• Hubble and Chandra archival data next.