Quantum Radiation from Black Holes and Naked Singularities in Spherical Dust Collapse

A sufficiently massive collapsing star will end its life as a spacetime singularity. The nature of the Hawking radiation emitted during collapse depends critically on whether the star's boundary conditions are such as would lead to the eventual formation of a black hole or, alternatively, to the formation of a naked singularity. This latter possibility is not excluded by the singularity theorems. We discuss the nature of the Hawking radiation emitted in each case. We justify the use of Bogoliubov transforms in the presence of a Cauchy horizon and show that if spacetime is assumed to terminate at the Cauchy horizon, the resulting spectrum is thermal, but with a temperature different from the Hawking temperature.Comment: PHYZZX macros, 27 pages, 3 figure

Unknowable bodies, unthinkable sexualities: lesbian and transgender legal invisibility in the Toronto women's bathhouse raid

Although litigation involving sexual orientation and gender identity discrimination claims has generated considerable public attention in recent years, lesbian and transgender bodies and sexualities still remain largely invisible in Anglo-American courts. While such invisibility is generally attributed to social norms that fail to recognize lesbian and transgender experiences, the capacity to 'not see' or 'not know' queer bodies and sexualities also involves wilful acts of ignorance. Drawing from R. v Hornick (2002) a Canadian case involving the police raid of a women's bathhouse, this article explores how lesbian and transgender bodies and sexualities are actively rendered invisible via legal knowledge practices, norms and rationalities. It argues that limited knowledge and limited thinking not only regulate the borders of visibility and belonging, but play an active part in shaping identities, governing conduct and producing subjectivity

Hawking radiation: a particle physics perspective

It has recently become fashionable to regard black holes as elementary particles. By taking this suggestion seriously it is possible to cobble together an elementary particle physics based estimate for the decay rate $(\hbox{black hole})_i \to (\hbox{black hole})_f + (\hbox{massless quantum})$. This estimate of the spontaneous emission rate contains two free parameters which may be fixed by demanding that the high energy end of the spectrum of emitted quanta match a blackbody spectrum at the Hawking temperature. The calculation, though technically trivial, has important conceptual implications: (1) The existence of Hawking radiation from black holes is ultimately dependent only on the fact that massless quanta (and all other forms of matter) couple to gravity. (2) The thermal nature of the Hawking spectrum depends only on the fact that the number of internal states of a large mass black hole is enormous. (3) Remarkably, the resulting formula for the decay rate gives meaningful answers even when extrapolated to low mass black holes. The analysis strongly supports the scenario of complete evaporation as the endpoint of the Hawking radiation process (no naked singularity, no stable massive remnant).Comment: (15 pages) RevTe

Exterior and interior metrics with quadrupole moment

We present the Ernst potential and the line element of an exact solution of Einstein's vacuum field equations that contains as arbitrary parameters the total mass, the angular momentum, and the quadrupole moment of a rotating mass distribution. We show that in the limiting case of slowly rotating and slightly deformed configuration, there exists a coordinate transformation that relates the exact solution with the approximate Hartle solution. It is shown that this approximate solution can be smoothly matched with an interior perfect fluid solution with physically reasonable properties. This opens the possibility of considering the quadrupole moment as an additional physical degree of freedom that could be used to search for a realistic exact solution, representing both the interior and exterior gravitational field generated by a self-gravitating axisymmetric distribution of mass of perfect fluid in stationary rotation.Comment: Latex, 15 pages, 3 figures, final versio

Intermediate and extreme mass-ratio inspirals — astrophysics, science applications and detection using LISA

Black hole binaries with extreme (gtrsim104:1) or intermediate (~102–104:1) mass ratios are among the most interesting gravitational wave sources that are expected to be detected by the proposed laser interferometer space antenna (LISA). These sources have the potential to tell us much about astrophysics, but are also of unique importance for testing aspects of the general theory of relativity in the strong field regime. Here we discuss these sources from the perspectives of astrophysics, data analysis and applications to testing general relativity, providing both a description of the current state of knowledge and an outline of some of the outstanding questions that still need to be addressed. This review grew out of discussions at a workshop in September 2006 hosted by the Albert Einstein Institute in Golm, Germany

Geometric morphometric analysis of grain shape and the identification of two-rowed barley (Hordeum vulgare subsp distichum L.) in southern France

Open Access funded by Natural Environment Research Council Under a Creative Commons license We would like to thank Michel Lemoine (CNRS, Muséum), for his invaluable help during the carbonization of the fresh caryopses. We are also most grateful to the society Secobra for providing the fresh caryopses used in this study, to Raphaël Cornette (UMR7205) for welcoming us into the morphometric platform of the National Museum of Paris, to prof. Jean- Frédéric Terral (University Montpellier 2) for his advice and to Elizabeth Kerr (UMR7209) and Nelly Gidaszewski (UMR7205) for language editing. A. Evin acknowledges financial support from the Natural Environment Research Council, UK (grant number NE/F003382/1). Finally, we would like to thank the UMR7209 (CNRS-MNHN), for financial support.Peer reviewedPublisher PD

Tunnelling Methods and Hawking's radiation: achievements and prospects

The aim of this work is to review the tunnelling method as an alternative description of the quantum radiation from black holes and cosmological horizons. The method is first formulated and discussed for the case of stationary black holes, then a foundation is provided in terms of analytic continuation throughout complex space-time. The two principal implementations of the tunnelling approach, which are the null geodesic method and the Hamilton-Jacobi method, are shown to be equivalent in the stationary case. The Hamilton-Jacobi method is then extended to cover spherically symmetric dynamical black holes, cosmological horizons and naked singularities. Prospects and achievements are discussed in the conclusions.Comment: Topical Review commissioned and accepted for publication by "Classical and Quantum Gravity". 101 pages; 6 figure

REPRESENTATION, RACIALISATION AND RESPONSIBILITY: MALE ATHLETIC BODIES IN THE (BRITISH) SPORTS AND LEISURE MEDIA

The predominance of the male ‘Other’ on the pages of contemporary sport and leisure print media has become increasingly ordinary over the last decade or so. Many subjugated ethnic groups have utilised sport and leisure stages to challenge the fallacies of psychological and biological inferiority and other ill-founded vestiges of nineteenth-century bio-racist discourses (Carrington, 2002; Hylton, 2009; Messner, 1993). Evidently, whilst ‘black’ females remain underrepresented in media spaces (Knoppers and Elling, 2004), their male counterparts, particularly those of African-Caribbean heritage, have accessed the realm of the popular en masse (Carrington, 2002). The mere presence of these men no longer seems to threaten the status quo of modern Western social democracies; in fact, images of African-Caribbean males are often held as exemplars of neo-liberalism and its fetish for championing quasi-multiculturalism. Indeed, according to some, media consumers only have to open a magazine (Hylton, 2009), switch on the television (Carrington, 2002) or visit the cinema (Giardina, 2003) to experience “a bit of the Other”. Before one is falsely charmed by some gloriously liberating homily of absolute social improvement, it is important to consider the instrumentalism of these developments more critically. This paper therefore aims to address the implications of racialisation in the context of the sport and leisure media and its role in representing athletic bodies in highly stylised and particularised ways. It will be argued that the racialisation of ethnically differing athletic bodies, through modes of photographic and digital manipulation, delivers messages that disadvantage particular ethnic groups, whilst advantaging others. Throughout, racialisation is conceptualised as a process of “categorisation, a representational process of defining an Other, usually, but not exclusively, somatically” (Miles and Brown, 2003: p. 101). For the purpose of this paper, I employ this conception to foreground the negative implications of racialisation