15,788 research outputs found

    Kretschmann Scalar for a Kerr-Newman Black Hole

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    I have derived the Kretschmann scalar for a general black hole of mass m, angular momentum per unit mass a, and electric charge Q. The Kretschmann scalar gives the amount of curvature of spacetime, as a function of position near (and within) a black hole. This allows one to display the "appearance" of the black hole itself, whether the black hole is merely of stellar mass, or is a supermassive black hole at the center of an active galaxy. Schwarzschild black holes, rotating black holes, electrically charged black holes, and rotating electrically-charged black holes, are all illustrated. Rotating black holes are discovered to possess a negative curvature that is not analagous to that of a saddle.Comment: 14 pages including four figure

    Veteran spinal cord injury: An investigation of the mediating role of pain interference on the relationship between pain and emotional distress.

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    Veteran Spinal Cord Injury: An Investigation of the Mediating Role of Pain Interference on the Relationship between Pain and Emotional Distress Carly Blaine, Dept. of Psychology, Jack Watson, and Richard Henry, Dept. of Psychology Graduate Student, with Dr. Scott McDonald, VCU School of Medicine Background: Pain commonly co-occurs with spinal cord injury (SCI) and has been linked to poorer psychological function. SCI patients who experience chronic pain report great levels of interference with daily life.Pain interference with daily life may lead to emotional distress and depression.Objective: Using the PROCESS macro (model 4; Hayes, 2017), this study examines whether pain interference with daily life mediates a positive relationship between pain severity and mental health. Design: This study used a cross-sectional design. Setting and Participants: 221 veterans with SCI were interviewed by a psychologist during their annual evaluation at a Veteran Affairs medical center outpatient clinic. Outcome Measures: Single-item, self-report, Likert scale measures of pain severity and pain interference (M-HIP) were used along with the Patient Health Questionaire-4 (PHQ-4), a measure of mental health symptom severity. Results: Pain severity had a direct effect on mental health as well as an indirect effect through pain interference, using 5,000 bootstrap samples. The overall model was significant (F[1, 219] = 17.763, R2= .075, p \u3c .001). The direct paths from pain severity to pain interference (b= .857, p\u3c .001) and from pain interference to mental health (b= .929, p\u3c .001) were both statistically significant. Further, the indirect effect of pain on mental health through pain interference was statistically significant (b= .796, 95% CI [.493, 1.140]), indicating a full mediation because the direct path from pain severity to mental health was no longer statistically significant in the model (b= .094, p= .683). Discussion: Findings suggest SCI-related emotional distress can result from the inability to participate in daily activities such as going to work, spending time with others, or engaging in hobbies due to pain. Such interference with regular life was found to significantly mediated the positive relationship between SCI-related pain and emotional distress. Future research may take a more qualitative account of how pain inhibits daily life emotionally and physically and focus on interventions designed to decrease pain’s interference with daily living.https://scholarscompass.vcu.edu/uresposters/1293/thumbnail.jp

    Gallery of Planetary Nebula Spectra

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    We present the Gallery of Planetary Nebula Spectra now available at http://oit.williams.edu/nebulae The website offers high-quality, moderate resolution (~7-10 A FWHM) spectra of 128 Galactic planetary nebulae from 3600-9600 A, obtained by Kwitter, Henry, and colleagues with the Goldcam spectrograph at the KPNO 2.1-m or with the RC spectrograph at the CTIO 1.5-m. The master PN table contains atlas data and an image link. A selected object's spectrum is displayed in a zoomable window; line identification templates are provided. In addition to the spectra themselves, the website also contains a brief discussion of PNe as astronomical objects and as contributors to our understanding of stellar evolution. We envision that this website, which concentrates a large amount of data in one place, will be of interest to a variety of users: researchers might need to check the spectrum of a particular object of interest; the non-specialist astronomer might simply be interested in perusing such a collection of spectra; and finally, teachers of introductory astronomy can use this database to illustrate basic principles of atomic physics and radiation. To particularly encourage this last use, we have developed two paper-and-pencil exercises to introduce beginning astronomy students to the wealth of information that PN spectra contain.Comment: Two pages, two figures. Contributed paper to IAU Symp. 234, ``Planetary Nebulae in our Galaxy and Beyond.'
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