Dr Erik Baxter PhD
Senior Lecturer
Summary
I am a Senior Lecturer at Sheffield Hallam University, teaching at all levels and supervising undergraduate dissertation students each year on various mathematical physics topics such as black holes, warp field theory, time travel models, and solutions to Schrodinger's equation.
About
My interests in maths and physics include most things quantum and relativistic, but my focus just now is SU(N) EYM theory in anti de-Sitter space; specifically, aspects of black holes and solitons in a range of general cases.
Teaching
College of Business, Technology and Engineering
Publications
Journal articles
Baxter, E. (2019). Dyonic black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein–Yang–Mills theory, characterised by an infinite set of global charges. Classical and Quantum Gravity, 36 (18), 185014. http://doi.org/10.1088/1361-6382/ab310e
Baxter, J.E. (2019). Stable furry black holes in $\mathfrak{su}(\infty)$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinitude of global charges. .
Baxter, J.E. (2019). Globally regular solutions to dyonic anti-de Sitter $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory -- Existence and characterising charges. .
Baxter, J.E. (2018). On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups. Journal of Mathematical Physics, 59 (5), 052502. http://doi.org/10.1063/1.5000349
Erik, B. (2016). On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups. General Relativity and Gravitation, 48, 133. http://doi.org/10.1007/s10714-016-2126-2
Baxter, J.E., & Winstanley, E. (2016). Topological black holes in su(N) Einstein-Yang-Mills theory with a negative cosmological constant. Physics Letters B, 753, 268-273. http://doi.org/10.1016/j.physletb.2015.12.023
Baxter, J.E., & Winstanley, E. (2016). On the stability of soliton and hairy black hole solutions of SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. Journal of Mathematical Physics, 57 (2), 022506. http://doi.org/10.1063/1.4940694
Baxter, J.E. (2016). Existence of topological hairy dyons and dyonic black holes in anti-de Sitter SU(N) Einstein-Yang-Mills theory. Journal of Mathematical Physics, 57 (2), 022505. http://doi.org/10.1063/1.4940337
Baxter, E. (2014). On the existence of topological hairy black holes in SU(N) EYM theory with a negative cosmological constant. General Relativity and Gravitation, 47 (1), 1829. http://doi.org/10.1007/s10714-014-1829-5
Baxter, E., & Winstanley, E. (2008). On the existence of soliton and hairy black hole solutions of SU(N) Einstein–Yang–Mills theory with a negative cosmological constant. Classical and Quantum Gravity, 25 (24), 245014. http://doi.org/10.1088/0264-9381/25/24/245014
Baxter, E., Helbling, M., & Winstanley, E. (2008). Abundant Stable Gauge Field Hair for Black Holes in Anti–de Sitter Space. Physical Review Letters, 100 (1). http://doi.org/10.1103/PhysRevLett.100.011301
Baxter, E., Helbling, M., & Winstanley, E. (2007). Soliton and black hole solutions of SU(N) Einstein-Yang-Mills theory in anti-de Sitter space. Physical Review D, 76 (10). http://doi.org/10.1103/PhysRevD.76.104017
Baxter, J.E. (n.d.). Stable topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with $Λ<0$. .