A note on circular geodesics and phase transitions of black holes
The circular motion of charged test particles in the gravitational field of a Reissner-Nordström black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant Λ=−3/l2 of the space-time, and charge to mass ratio ϵ=q/...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-04-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319301443 |
| _version_ | 1818911772714729472 |
|---|---|
| author | Chandrasekhar Bhamidipati Shrohan Mohapatra |
| author_facet | Chandrasekhar Bhamidipati Shrohan Mohapatra |
| author_sort | Chandrasekhar Bhamidipati |
| collection | DOAJ |
| description | The circular motion of charged test particles in the gravitational field of a Reissner-Nordström black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant Λ=−3/l2 of the space-time, and charge to mass ratio ϵ=q/μ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, M=4/6Q and l=6Q. Thermodynamically, these values are known to occur when the black hole is on the verge of a second order phase transition, there by, giving an interesting connection between thermodynamics and geodesics of black holes. We also comment on the possibility of such a connection for black holes in flat spacetime in a box. Keywords: Circular geodesics, Phase transitions, Charged black holes in AdS, Black holes in a box |
| first_indexed | 2024-12-19T23:04:01Z |
| format | Article |
| id | doaj.art-48c91375fa9b4871854ab9a301697ecf |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-19T23:04:01Z |
| publishDate | 2019-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-48c91375fa9b4871854ab9a301697ecf2022-12-21T20:02:26ZengElsevierPhysics Letters B0370-26932019-04-01791367374A note on circular geodesics and phase transitions of black holesChandrasekhar Bhamidipati0Shrohan Mohapatra1School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Jatni, Khurda, Odisha, 752050, India; Corresponding author.School of Electrical Sciences, Indian Institute of Technology Bhubaneswar, Jatni, Khurda, Odisha, 752050, IndiaThe circular motion of charged test particles in the gravitational field of a Reissner-Nordström black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant Λ=−3/l2 of the space-time, and charge to mass ratio ϵ=q/μ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, M=4/6Q and l=6Q. Thermodynamically, these values are known to occur when the black hole is on the verge of a second order phase transition, there by, giving an interesting connection between thermodynamics and geodesics of black holes. We also comment on the possibility of such a connection for black holes in flat spacetime in a box. Keywords: Circular geodesics, Phase transitions, Charged black holes in AdS, Black holes in a boxhttp://www.sciencedirect.com/science/article/pii/S0370269319301443 |
| spellingShingle | Chandrasekhar Bhamidipati Shrohan Mohapatra A note on circular geodesics and phase transitions of black holes Physics Letters B |
| title | A note on circular geodesics and phase transitions of black holes |
| title_full | A note on circular geodesics and phase transitions of black holes |
| title_fullStr | A note on circular geodesics and phase transitions of black holes |
| title_full_unstemmed | A note on circular geodesics and phase transitions of black holes |
| title_short | A note on circular geodesics and phase transitions of black holes |
| title_sort | note on circular geodesics and phase transitions of black holes |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319301443 |
| work_keys_str_mv | AT chandrasekharbhamidipati anoteoncirculargeodesicsandphasetransitionsofblackholes AT shrohanmohapatra anoteoncirculargeodesicsandphasetransitionsofblackholes AT chandrasekharbhamidipati noteoncirculargeodesicsandphasetransitionsofblackholes AT shrohanmohapatra noteoncirculargeodesicsandphasetransitionsofblackholes |