Hawking Radiation from a (4+n)-Dimensional Rotating Black Hole on the Brane

We study the emission of Hawking radiation in the form of scalar fields from a (4+n)-dimensional, rotating black hole on the brane. We perform a numerical analysis to solve both the radial and angular parts of the scalar field equation, and derive exact results for the radial wavefunction and angular eigenvalues, respectively. We then determine the Hawking radiation energy emission rate, and find that, as the angular momentum increases, it is suppressed in the low-energy regime but enhanced in the intermediate and high-energy regimes. Our results agree with previous analytical studies, derived in the low-angular momentum and low-energy approximation, and generalize them to include angular momentum and energy regimes that were until now unexplored. We also investigate the energy amplification due to super-radiance and we find that, in the presence of extra dimensions, the effect is significantly enhanced.Comment: 9 pages, Latex file, 5 figures, a new figure and a paragraph have been added along with some clarifying comments, version to appear in Phys. Lett.

Alien Registration- Harris, Ida M. (Saint George, Knox County)

https://digitalmaine.com/alien_docs/13427/thumbnail.jp

Essential Programs and Services Review: The Special Education Funding Model

The purpose of this document is to review the special education funding component of the Essential Programs and Services funding model. This component was first implemented in 2005 -2006 and first reviewed in 2007-08. In order to establish a context for this second review, the sections below include an overview of special education and funding in the U.S. and in Maine

Angular profile of emission of non-zero spin fields from a higher-dimensional black hole

Recent works have included the effect of rotation on simulations of black hole events at the LHC, showing that the angular momentum of the black hole cannot be ignored and it makes a non-trivial contribution for most of the lifetime of the black hole. A key consequence of the rotation of the black hole is that the Hawking radiation is no longer isotropic, making it more difficult to infer space–time parameters from measurements of the emitted particles. In this Letter we study the angular distribution of the Hawking emission of non-zero spin particles with specific helicity on the brane. We argue that the shape of the distribution could be used as a measure of the angular momentum of the black hole

A Racial Impact Analysis of HB 869/SB 274

Virginia is growing. Between 1990 and 2000, Virginia’s population rose by over 14% - the largest population growth experienced by the state in a single decade (Pollard, 2007). And the state continues to grow. It has been estimated that by 2030, Virginia’s total population may exceed 9.8 million people (Pollard, 2007). Along with population growth, land development has increased which in turn affects transportation, housing and job placement across the Commonwealth. In fact, in many parts of the state, development has outpaced population growth. According to Pollard, “If current patterns continue, Virginia will develop more land in the next 40 years than in the previous 400 years (p.8).” In an effort to curb sprawling development and decrease transportation expenditure, the Virginia General Assembly passed House Bill 3202 in 2007. One major outcome of this multifaceted legislation was the introduction of mandatory Urban Development Areas (UDAs). The goal of UDAs was for localities to concentrate growth and development in order to reduce the cost of transportation and increase opportunities to build multi-use developments and expand affordable housing. In 2012, the General Assembly passed House Bill 869 and Senate Bill 274 which effectively make UDAs no longer mandatory but optional for all localities in the Commonwealth. In this paper, we analyze the racial impact and explore the political history of HB 869/SB 274 while addressing the larger issue of sprawl across the Commonwealth. Smart Growth policies are known to positively impact the environment but they also positively impact low-income and minority communities by increasing access to housing, transportation and ultimately jobs. The story behind Urban Development Areas in the Commonwealth is one of politics and regulation but issues as critical as housing, transportation and job access should be focused much more on the citizens of the Commonwealth. The friction created by the UDA policy between the localities and the state has the potential to spark a statewide conversation about land use and more importantly - the need for people-centered solutions to a growing problem

Emissivities for the various Graviton Modes in the Background of the Higher-Dimensional Black Hole

The Hawking emissivities for the scalar-, vector-, and tensor-mode bulk gravitons are computed in the full range of the graviton's energy by adopting the analytic continuation numerically when the spacetime background is $(4+n)$-dimensional non-rotating black hole. The total emissivity for the gravitons is only 5.16% of that for the spin-0 field when there is no extra dimension. However, this ratio factor increases rapidly when the extra dimensions exist. For example, this factor becomes 147.7%, 595.2% and 3496% when the number of extra dimensions is 1, 2 and 6, respectively. This fact indicates that the Hawking radiation for the graviton modes becomes more and more significant and dominant with increasing the number of extra dimensions.Comment: 14 pages, 5 eps figures, V2: the incorrect multiplicities are corrected. PLB versio

Condition for Superradiance in Higher-dimensional Rotating Black Holes

It is shown that the superradiance modes always exist in the radiation by the $(4+n)$-dimensional rotating black holes. Using a Bekenstein argument the condition for the superradiance modes is shown to be $0 < \omega < m \Omega$ for the scalar, electromagnetic and gravitational waves when the spacetime background has a single angular momentum parameter about an axis on the brane, where $\Omega$ is a rotational frequency of the black hole and $m$ is an azimuthal quantum number of the radiated wave.Comment: 8 pages, no figure, v2: references added, version to appear in PL

Missing energy in black hole production and decay at the Large Hadron Collider

Black holes could be produced at the Large Hadron Collider in TeV-scale gravity scenarios. We discuss missing energy mechanisms in black hole production and decay in large extra-dimensional models. In particular, we examine how graviton emission into the bulk could give the black hole enough recoil to leave the brane. Such a perturbation would cause an abrupt termination in Hawking emission and result in large missing-energy signatures.Comment: addressed reviewer comments and updated reference

Bulk versus Brane Emissivities of Photon Fields: For the case of Higher-Dimensional Schwarzschild Phase

The emission spectra for the spin-1 photon fields are computed when the spacetime is a $(4+n)$-dimensional Schwarzschild phase. For the case of the bulk emission we compute the spectra for the vector mode and scalar mode separately. Although the emissivities for the scalar mode is larger than those for the vector mode when $n$ is small, the emissivities for the vector mode photon become dominant rapidly with increasing $n$. For the case of the brane emission the emission spectra are numerically computed by making use of the complex potential method. Comparision of the total bulk emissivities with total brane emissivities indicates that the effect of the field spin makes the bulk emission to be rapidly dominant with increasing $n$. However, the bulk-to-brane relative emissivity per degree of freedom always remains smaller than unity. The importance for the spin-2 graviton emission problem is discussed.Comment: 22 pages, 10 eps figures included in the text V2: mistyping is corrected in reference and text. one more reference is added. Table is updated. version to appear in NPB V3: REVTEX4 format (no change