T $T$ – S $S$ criticality of black holes with power Maxwell invariant source

T $T$ – S $S$ criticality of black holes with power Maxwell invariant source In this paper, we show that black holes with PMI source exhibit the T $T$ – S $S$ criticality and derive the relevant critical physical quantities analytically. The values of critical quantities for the case s ≠ 1 $s\neq1$ vary from those for the case s = 1 $s=1$ , showing the effect of PMI field on the critical phenomena of black holes. When q < q c $q< q_{c}$ , the T $T$ – S $S$ curve can be divided into three branches by a maximum point and a minimum point of Hawking temperature. With the help of specific heat analysis, we further show that the small entropy branch and the large entropy branch are stable. However, the medium entropy branch is unstable and can be removed via the technique of free energy analysis. Moreover, we examine the Maxwell equal area law and find that the relative errors for all the cases are small enough. So the existence of the PMI field does not affect the Maxwell equal area law. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Astrophysics and Space Science Springer Journals

T $T$ – S $S$ criticality of black holes with power Maxwell invariant source

Loading next page...
 
/lp/springer_journal/t-t-s-s-criticality-of-black-holes-with-power-maxwell-invariant-source-KM6mWv3lGs
Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Physics; Astrophysics and Astroparticles; Astronomy, Observations and Techniques; Cosmology; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) ; Astrobiology
ISSN
0004-640X
eISSN
1572-946X
D.O.I.
10.1007/s10509-017-3116-x
Publisher site
See Article on Publisher Site

Abstract

In this paper, we show that black holes with PMI source exhibit the T $T$ – S $S$ criticality and derive the relevant critical physical quantities analytically. The values of critical quantities for the case s ≠ 1 $s\neq1$ vary from those for the case s = 1 $s=1$ , showing the effect of PMI field on the critical phenomena of black holes. When q < q c $q< q_{c}$ , the T $T$ – S $S$ curve can be divided into three branches by a maximum point and a minimum point of Hawking temperature. With the help of specific heat analysis, we further show that the small entropy branch and the large entropy branch are stable. However, the medium entropy branch is unstable and can be removed via the technique of free energy analysis. Moreover, we examine the Maxwell equal area law and find that the relative errors for all the cases are small enough. So the existence of the PMI field does not affect the Maxwell equal area law.

Journal

Astrophysics and Space ScienceSpringer Journals

Published: Aug 7, 2017

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off