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THE 3+1 FORMALISM

Miguel Alcubierre

in Introduction to 3+1 Numerical Relativity

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199205677
eISBN:
9780191709371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205677.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

There are several different approaches to the problem of separating the Einstein field equations in a way that allows us to give certain initial data, and from there obtain the subsequent evolution ... More


The Hamiltonian formalism

Steven Carlip

in General Relativity: A Concise Introduction

Published in print:
2019
Published Online:
March 2019
ISBN:
9780198822158
eISBN:
9780191861215
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822158.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

So far, general relativity has been viewed from the four-dimensional Lagrangian perspective. This chapter introduces the (3+1)-dimensional Hamiltonian formalism, starting with the ADM form of the ... More


The Modern Macroeconomic Approach and the Arrow-Debreu-McKenzie Model

Kartik B. Athreya

in Big Ideas in Macroeconomics: A Nontechnical View

Published in print:
2013
Published Online:
May 2014
ISBN:
9780262019736
eISBN:
9780262314404
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262019736.003.0002
Subject:
Economics and Finance, Macro- and Monetary Economics

How do macroeconomists talk to each other? What is the benchmark macroeconomic model? What’s a way to think about societal outcomes that are (i) not wasteful and (ii) stable?


Depression: Disorder of Affect, Disorder of Autonomy

Paul Biegler

in The Ethical Treatment of Depression: Autonomy through Psychotherapy

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015493
eISBN:
9780262295628
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015493.003.0004
Subject:
Philosophy, Philosophy of Mind

This chapter presents arguments showing how depression undermines personal autonomy. Although it is widely accepted that depression alters the sufferer’s worldview, this chapter focuses on the nature ... More


Understanding Negative Biases Promotes Autonomy in Depression

Paul Biegler

in The Ethical Treatment of Depression: Autonomy through Psychotherapy

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015493
eISBN:
9780262295628
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015493.003.0005
Subject:
Philosophy, Philosophy of Mind

This chapter focuses on how the impairment of autonomy in depressed patients can be addressed by two validated treatments, namely, cognitive behavior therapy (CBT) and antidepressant medication ... More


Understanding Causal Stressors Promotes Autonomy in Depression

Paul Biegler

in The Ethical Treatment of Depression: Autonomy through Psychotherapy

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015493
eISBN:
9780262295628
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015493.003.0006
Subject:
Philosophy, Philosophy of Mind

This chapter explains how psychotherapy creates awareness of the causal role of psychosocial stressors and of effective means of addressing them. Psychotherapy, particularly cognitive behavior ... More


A Special Duty to Promote Autonomy in Depression: The Moral Case for Psychotherapy

Paul Biegler

in The Ethical Treatment of Depression: Autonomy through Psychotherapy

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015493
eISBN:
9780262295628
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015493.003.0007
Subject:
Philosophy, Philosophy of Mind

This chapter proposes that physicians have a moral obligation to administer cognitive behavior therapy (CBT) to depressed patients by arguing that CBT has a superior capacity in promoting autonomy in ... More


Formulations of the Einstein–Euler Equations

Luciano Rezzolla and Olindo Zanotti

in Relativistic Hydrodynamics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780198528906
eISBN:
9780191746505
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528906.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter, which opens the second part of the book devoted to the numerical solution of the relativistic-hydrodynamics equations, presents in a concise, yet complete, way the several formulations ... More


Properties of dynamical space-times

Michele Maggiore

in Gravitational Waves: Volume 2: Astrophysics and Cosmology

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198570899
eISBN:
9780191817182
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198570899.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

An introduction to advanced tools of General Relativity, later used in the study of binary black-hole coalescences. Hamiltonian formulation of General Relativity, ADM mass and angular momentum, ... More


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