2,211 research outputs found
Some Spinor-Curvature Identities
We describe a class of spinor-curvature identities which exist for Riemannian
or Riemann-Cartan geometries. Each identity relates an expression quadratic in
the covariant derivative of a spinor field with an expression linear in the
curvature plus an exact differential. Certain special cases in 3 and 4
dimensions which have been or could be used in applications to General
Relativity are noted.Comment: 5 pages Plain TeX, NCU-GR-93-SSC
A Quadratic Spinor Lagrangian for General Relativity
We present a new finite action for Einstein gravity in which the Lagrangian
is quadratic in the covariant derivative of a spinor field. Via a new
spinor-curvature identity, it is related to the standard Einstein-Hilbert
Lagrangian by a total differential term. The corresponding Hamiltonian, like
the one associated with the Witten positive energy proof is fully
four-covariant. It defines quasi-local energy-momentum and can be reduced to
the one in our recent positive energy proof. (Fourth Prize, 1994 Gravity
Research Foundation Essay.)Comment: 5 pages (Plain TeX), NCU-GR-94-QSL
Reconciling the Volcker Rule with the Dodd-Frank Act’s Objectives: How to Best Combat Systemic Risk
This Note examines the Dodd-Frank Act’s ban on proprietary trading and on banks sponsoring hedge funds and private equity funds, known as the Volcker Rule. This Rule has been a point of contention since the Act was passed in 2010. Some argue that the ban is either a detriment to bond market liquidity or is unnecessary because a tenuous nexus exists between proprietary trading and true causes of the 2008 financial crisis. Proponents cite the role of proprietary trading in the crisis and the inherent risk that banks accept when engaging in such trading. The controversy surrounding the Volcker Rule has led individuals in politics and finance to discuss whether to amend, or even repeal, the Rule. This Note explores arguments for and against the Volcker Rule and ultimately offers recommendations to amend the Rule while maintaining its (and Dodd-Frank’s) venerable goal of curbing systemic risk. First, this Note begins with a discussion of the causes of the financial crisis and systemic risk before explaining the Rule’s provisions. This background provides the groundwork for the ongoing debate about the Volcker Rule and whether there should be a change in the language of the Rule. Proponents and opponents have clashed on multiple issues, such as whether proprietary trading played a significant role in the financial crisis and whether it actually reduces systemic risk. Understanding arguments on both sides is crucial to assess whether and how the Volcker Rule should be amended in light of systemic risk. This Note concludes that neither outright repeal of the Rule nor leaving it fully intact are appropriate. Rather, this Note offers recommendations to amend it in a way that balances banks’ desires to engage in profitable trading with the global interest in curbing systemic risk in the financial system
Bonding, Bridging, and Social Change
This paper discusses the efficacy of using Robert Putnam’s theory of social capital as the framework for forming long-term reciprocal relationship amongst Writing students, faculty, clients and staff of a community-based agency. In particular, I explore the ways the bonding and bridging relationships that Robert Putnam describes provide a conceptual framework for harnessing the gravitational push and pull we experience daily, as we cooperate and collaborate in various ways depending on circumstance and purpose. To illustrate my point, I provide an account of an on-going relationship between my students and the clients and staff of the James L. Maher Center, an agency that provides meaningful vocational, educational, educational, athletic, and social activities for differently-abled adults
Another positivity proof and gravitational energy localizations
Two locally positive expressions for the gravitational Hamiltonian, one using
4-spinors the other special orthonormal frames, are reviewed. A new quadratic
3-spinor-curvature identity is used to obtain another positive expression for
the Hamiltonian and thereby a localization of gravitational energy and positive
energy proof. These new results provide a link between the other two methods.
Localization and prospects for quasi-localization are discussed.Comment: 14 pages REVTe
Ashtekar's New Variables and Positive Energy
We discuss earlier unsuccessful attempts to formulate a positive
gravitational energy proof in terms of the New Variables of Ashtekar. We also
point out the difficulties of a Witten spinor type proof. We then use the
special orthonormal frame gauge conditions to obtain a locally positive
expression for the New Variables Hamiltonian and thereby a ``localization'' of
gravitational energy as well as a positive energy proof.Comment: 12 pages Plain Te
Pre-Employment Testing and the ADA
This brochure is one of a series on human resources practices and workplace accommodations for persons with disabilities edited by Susanne M. Bruyère, Ph.D., CRC, Director, Employment and Disability Institute, Cornell University ILR School. This brochure was written in 1997 and updated in 2000 by Mary Anne Nester, Ph.D., U.S. Immigration and Naturalization Service, Washington D.C., 2001. It was further updated in 2010 by Beth Reiter, an independent legal consultant, Ithaca, N.Y., with assistance from Sara Furguson, a Cornell University Employment and Disability Institute ILR student research assistant
Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories
We investigate the Lagrange multiplier formulation of teleparallel theories,
including f(T) gravity, in which the connection is not set to zero a priori and
compare it with the pure frame theory. We show explicitly that the two
formulations are equivalent, in the sense that the dynamical equations have the
same content. One consequence is that the manifestly local Lorentz invariant
f(T) theory cannot be expected to be free of pathologies, which were previously
found to plague f(T) gravity formulated in the usual pure frame approach.Comment: 6 pages, version accepted for publicatio
The quadratic spinor Lagrangian is equivalent to the teleparallel theory
The quadratic spinor Lagrangian is shown to be equivalent to the teleparallel
/ tetrad representation of Einstein's theory. An important consequence is that
the energy-momentum density obtained from this quadratic spinor Lagrangian is
essentially the same as the ``tensor'' proposed by Moller in 1961.Comment: 10 pages, RevTe
Pre-Employment Testing and the ADA
This brochure on pre-employment testing and the Americans with Disabilities (ADA) is one of a series on human resources practices and workplace accommodations for persons with disabilities edited by Susanne M. Bruyère, Ph.D., CRC, SPHR, Director, Program on Employment and Disability, School of Industrial and Labor Relations – Extension Division, Cornell University. Cornell University was funded in the early 1990’s by the U.S. Department of Education National Institute on Disability and Rehabilitation Research as a National Materials Development Project on the employment provisions (Title I) of the ADA (Grant #H133D10155). These updates, and the development of new brochures, have been funded by Cornell’s Program on Employment and Disability, the Pacific Disability and Business Technical Assistance Center, and other supporters
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