Black Holes in Higher Dimensions

doi:10.1017/CBO9781139004176

Black holes are one of the most remarkable predictions of Einstein's general relativity. In recent years, ideas in brane-world cosmology, string theory and gauge/gravity duality have motivated studies of black holes in more than four dimensions, with surprising results. In higher dimensions, black holes exist with exotic shapes and unusual dynamics. Edited by leading expert Gary Horowitz, this exciting book is the first devoted to this new field. The major discoveries are explained by the people who made them: Rob Myers describes the Myers–Perry solutions that represent rotating black holes in higher dimensions; Ruth Gregory describes the Gregory–Laflamme instability of black strings; and Juan Maldacena introduces gauge/gravity duality, the remarkable correspondence that relates a gravitational theory to nongravitational physics. Accessible to anyone with a standard course in general relativity, this is an important resource for graduate students and researchers in general relativity, string theory and high energy physics.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Contents

Frontmatter
pp i-iv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp v-viii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

List of contributors
pp ix-x
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface
pp xi-xiv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part I - Introduction
pp 1-2
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - Black holes in four dimensions
pp 3-26
- By Gary T. Horowitz, University of California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part II - Kaluza–Klein thoery
pp 27-28
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - The Gregory–Laflamme instability
pp 29-43
- By Ruth Gregory, Durham University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Final state of Gregory–Laflamme instability
pp 44-68
- By Luis Lehner, University of Guelph, Frans Pretorius, Princeton University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - General black holes in Kaluza–Klein theory
pp 69-98
- By Gary T. Horowitz, University of California, Toby Wiseman, Imperial College
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part III - Asymptotically flat solutions
pp 99-100
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - Myers–Perry black holes
pp 101-133
- By Robert C. Myers, Perimeter Institute
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - Black rings
pp 134-156
- By Roberto Emparan, Universitat de Barcelona, Harvey S. Reall, Cambridge University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part IV - General properties
pp 157-158
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - Constraints on the topology of higher-dimensional black holes
pp 159-179
- By Gregory J. Galloway, University of Miami
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - Blackfolds
pp 180-212
- By Roberto Emparan, Universitat de Barcelona
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - Algebraically special solutions in higher dimensions
pp 213-232
- By Harvey S. Reall, Cambridge University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - Numerical construction of static and stationary black holes
pp 233-270
- By Toby Wiseman, Imperial College
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Part V - Advanced topics
pp 271-272
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Black holes and branes in supergravity
pp 273-324
- By Donald Marolf, University of California
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - The gauge/gravity duality
pp 325-347
- By Juan Maldacena, Institute for Advanced Study
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - The fluid/gravity correspondence
pp 348-386
- By Veronika E. Hubeny, Durham University, Shiraz Minwalla, Tata Institute of Fundamental Research, Mukund Rangamani, Durham University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - Horizons, holography and condensed matter
pp 387-419
- By Sean A. Hartnoll, Stanford University
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Index
pp 420-422
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Black Holes in Higher Dimensions

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-viii

List of contributors
pp ix-x

Preface
pp xi-xiv

Part I - Introduction
pp 1-2

1 - Black holes in four dimensions
pp 3-26

Part II - Kaluza–Klein thoery
pp 27-28

2 - The Gregory–Laflamme instability
pp 29-43

3 - Final state of Gregory–Laflamme instability
pp 44-68

4 - General black holes in Kaluza–Klein theory
pp 69-98

Part III - Asymptotically flat solutions
pp 99-100

5 - Myers–Perry black holes
pp 101-133

6 - Black rings
pp 134-156

Part IV - General properties
pp 157-158

7 - Constraints on the topology of higher-dimensional black holes
pp 159-179

8 - Blackfolds
pp 180-212

9 - Algebraically special solutions in higher dimensions
pp 213-232

10 - Numerical construction of static and stationary black holes
pp 233-270

Part V - Advanced topics
pp 271-272

11 - Black holes and branes in supergravity
pp 273-324

12 - The gauge/gravity duality
pp 325-347

13 - The fluid/gravity correspondence
pp 348-386

14 - Horizons, holography and condensed matter
pp 387-419

Index
pp 420-422

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Black Holes in Higher Dimensions

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information